4t ESO/4.04 EQUACIONS/4.04.3 Sistemes/4.04.3.1 Sistemes: reducció 4.04.3.1.10 TEORIA: REDUCCIÓ TAULA
Reducció

Si tenim un sistema lineal «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#FF0000¨»4«/mn»«mi mathvariant=¨bold-italic¨»x«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»10«/mn»«mi mathvariant=¨bold-italic¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»6«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#FF0000¨»6«/mn»«mi mathvariant=¨bold-italic¨»x«/mi»«mo mathvariant=¨bold¨»+«/mo»«mn mathvariant=¨bold¨»5«/mn»«mi mathvariant=¨bold-italic¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»29«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»

Per eliminar x, calculem el mcm de 4 i 6 = 12 per igualar els coeficients. Multipliquem la 1a per 12:4=3 i la 2a per 12:6=2:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»12«/mn»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»30«/mn»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»18«/mn»«/mtd»«/mtr»«mtr»«mtd»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»12«/mn»«mi mathvariant=¨bold¨»x«/mi»«mo mathvariant=¨bold¨»+«/mo»«mn mathvariant=¨bold¨»10«/mn»«mi mathvariant=¨bold¨»y«/mi»«mo mathvariant=¨bold¨»=«/mo»«mn mathvariant=¨bold¨»58«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«mo»§#160;«/mo»«/math»

Com que els coeficients igualats (12 i 12) tenen el mateix signe RESTEM la 2a de la 1a i ens queda: -40y = -40, o sigui y = 1. Ara eliminem la y per trobar la x, o substituïm.

Solució: (4,1) 

Quan els coeficients, un cop igualats, tenen signe oposat, SUMEM les equacions.
]]> 0.0000000 0.0000000 0 4.04.3.1.10_1 TEORIA REDUCCIÓ VÍDEO  

]]> 0.0000000 0.0000000 0 4.04.3.1.11Q AprendreReduccióSistema CD Determina, per reducció, les solucions del sistema d'equacions següent

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»


Format de la resposta: enter o fracció simplificada: -21 o -13/17

 

]]> 1.0000000 0.3333333 0 0 x=#s1y=#s2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>19</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>A1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>A2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>w3</mi><mo>=</mo><mi>mcd</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>w4</mi><mo>=</mo><mi>mcd</mi><mo>(</mo><mi>a12</mi><mo>,</mo><mi>a22</mi><mo>)</mo></mtd></mtr></mtable><mrow><mfenced><mrow><mi>rang</mi><mo>(</mo><mi>A1</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></mfenced><mo>∧</mo><mo>(</mo><mfenced close="|" open="|"><mi>a11</mi></mfenced><mo>&lt;</mo><mfenced close="|" open="|"><mi>a21</mi></mfenced><mo>)</mo><mo>∧</mo><mfenced><mrow><mfenced close="|" open="|"><mi>a12</mi></mfenced><mo>&lt;</mo><mfenced close="|" open="|"><mi>a22</mi></mfenced></mrow></mfenced><mo>∧</mo><mo>(</mo><mi>w3</mi><mo>≠</mo><mn>1</mn><mo>)</mo><mo>∧</mo><mo>(</mo><mi>w4</mi><mo>≠</mo><mn>1</mn><mo>)</mo></mrow></apply></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a1</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mfrac><mfenced close="|" 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xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>w2</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a12</mi><mo>,</mo><mi>a22</mi><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m11</mi><mo>=</mo><mfenced close="|" open="|"><mi>a11</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m21</mi><mo>=</mo><mfenced close="|" 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open="|"><mi>a12</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m12</mi><mo>=</mo><mfenced close="|" open="|"><mi>a12</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mfrac><mi>w2</mi><mfenced close="|" open="|"><mi>a22</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m22</mi><mo>=</mo><mfenced close="|" open="|"><mi>a22</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>g1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e32</mi><mo>=</mo><mi>g2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math 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xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>16</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>53</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>41</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»11«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»21«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

 

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 Per eliminar y, el mcm de #a12 i #a22 és #w2.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»12«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»31«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»22«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»32«/mn»«/math»

i com que #c1 i #c2 tenen signe #v1,  #v2 per eliminar y.

 

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 4.04.3.1.12Q AprendreReduccióSistema CD_2 Determina, per reducció, les solucions del sistema d'equacions següent

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»


Format de la resposta: enter o fracció simplificada: -21 o -13/17

 

]]> 1.0000000 0.3333333 0 0 x=#s1y=#s2]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><apply><csymbol 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open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a11</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a12</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></mtd></mtr><mtr><mtd><mi>w2</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a12</mi><mo>,</mo><mi>a22</mi><mo>)</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m11</mi><mo>=</mo><mfenced close="|" open="|"><mi>a11</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m21</mi><mo>=</mo><mfenced close="|" open="|"><mi>a21</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>a11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>a21</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a11</mi><mo>*</mo><mi>a21</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo> </mo><mi>la</mi><mo> </mo><mn>2</mn><mi>a</mi><mo> </mo><mi>de</mi><mo> </mo><mi>la</mi><mo> </mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo> </mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g1</mi><mo>=</mo><mfrac><mi>w2</mi><mfenced close="|" open="|"><mi>a12</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m12</mi><mo>=</mo><mfenced close="|" open="|"><mi>a12</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g2</mi><mo>=</mo><mfrac><mi>w2</mi><mfenced close="|" open="|"><mi>a22</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m22</mi><mo>=</mo><mfenced close="|" open="|"><mi>a22</mi></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e31</mi><mo>=</mo><mi>g1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e32</mi><mo>=</mo><mi>g2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c1</mi><mo>=</mo><mi>g1</mi><mo>*</mo><mi>a12</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c2</mi><mo>=</mo><mi>g2</mi><mo>*</mo><mi>a22</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a12</mi><mo>*</mo><mi>a22</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>v1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo> </mo><mi>la</mi><mo> </mo><mn>2</mn><mi>a</mi><mo> </mo><mi>de</mi><mo> </mo><mi>la</mi><mo> </mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>v1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>v2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo> </mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>4</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>12</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>16</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>w1</mi><mo>,</mo><mi>w2</mi><mo>,</mo><mi>w3</mi><mo>,</mo><mi>w4</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>,</mo><mn>16</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f1</mi><mo>,</mo><mi>f2</mi><mo>,</mo><mi>g1</mi><mo>,</mo><mi>g2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>9</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>16</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>5</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>53</mn><mn>3</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>41</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»11«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»21«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

 

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 Per eliminar y, el mcm de #a12 i #a22 és #w2.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»12«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»31«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced mathcolor=¨#007F00¨»«mrow»«mfrac»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»w«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mrow»«mrow»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»m«/mi»«mn mathvariant=¨bold¨»22«/mn»«/mrow»«/mfrac»«mo mathvariant=¨bold¨»=«/mo»«/mrow»«/mfenced»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»g«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»32«/mn»«/math»

i com que #c1 i #c2 tenen signe #v1,  #v2 per eliminar y.

 

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 4.04.3.1.21Q Reducció sistema ALEATORI Determineu, per reducció, les solucions del sistema d'equacions següent

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Format de la resposta: Si el sistema és 

  • compatible determinat: solució (enter o fracció simplificada: -21 o -13/17)
  • compatible indeterminat, poseu d minúscula en els dos llocs.
  • incompatible, poseu c minúscula en els dos llocs.
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definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>A1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>A2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mfenced><mrow><mi>rang</mi><mo>(</mo><mi>A1</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></mfenced><mo>∧</mo><mo>(</mo><mi>a11</mi><mo>&lt;</mo><mi>a21</mi><mo>)</mo></mrow></apply></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a1</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>k1</mi><mo>=</mo><mn>2</mn></mrow><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd/></mtr></mtable><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mo>(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>c</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>c</mi></mtd></mtr></mtable></apply></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a11</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a12</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>a11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>a21</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a11</mi><mo>*</mo><mi>a21</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>2</mn><mi>a</mi><mo>&nbsp;</mo><mi>de</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo>&nbsp;</mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f1</mi><mo>,</mo><mi>f2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>18</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

Es fa el mateix per eliminar y.

 

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 Si trobem solució, el sistema és compatible determinat.

Si surt 0x+0y=0, el sistema és compatible indeterminat.

Si surt 0x+0y=No-zero el sistema és incompatible.

]]> 4.04.3.1.22Q Reducció sistema ALEATORI_2 Determineu, per reducció, les solucions del sistema d'equacions següent

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfenced mathcolor=¨#00007F¨ open=¨{¨ close=¨}¨»«mtable»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»1«/mn»«/mtd»«/mtr»«mtr»«mtd»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»e«/mi»«mn mathvariant=¨bold¨»2«/mn»«/mtd»«/mtr»«/mtable»«/mfenced»«/mstyle»«/math»


Format de la resposta: Si el sistema és 

  • compatible determinat: solució (enter o fracció simplificada: -21 o -13/17)
  • compatible indeterminat, poseu d minúscula en els dos llocs.
  • incompatible, poseu c minúscula en els dos llocs.
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definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>A1</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mtd></mtr><mtr><mtd><mi>A2</mi><mo>=</mo><mfenced><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced></mtd></mtr></mtable><mrow><mfenced><mrow><mi>rang</mi><mo>(</mo><mi>A1</mi><mo>)</mo><mo>=</mo><mn>2</mn></mrow></mfenced><mo>∧</mo><mo>(</mo><mi>a11</mi><mo>&lt;</mo><mi>a21</mi><mo>)</mo></mrow></apply></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a1</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mfrac><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a1</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a2</mi></mtd></mtr></mtable></mfenced><mfenced close="|" open="|"><mtable><mtr><mtd><mi>a11</mi></mtd><mtd><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a21</mi></mtd><mtd><mi>a22</mi></mtd></mtr></mtable></mfenced></mfrac></mtd></mtr></mtable><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>k1</mi><mo>=</mo><mn>2</mn></mrow><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>m</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mi>m</mi><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>d</mi></mtd></mtr><mtr><mtd/></mtr></mtable><mtable><mtr><mtd><mi>a11</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a12</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>n</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>a21</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a11</mi></mtd></mtr><mtr><mtd><mi>a22</mi><mo>=</mo><mi>n</mi><mo>*</mo><mi>a12</mi></mtd></mtr><mtr><mtd><mi>a2</mi><mo>=</mo><mo>(</mo><mi>n</mi><mo>+</mo><mn>2</mn><mo>)</mo><mo>*</mo><mi>a1</mi></mtd></mtr><mtr><mtd><mi>s1</mi><mo>=</mo><mi>c</mi></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>c</mi></mtd></mtr></mtable></apply></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi><mo>=</mo><mi>a11</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a12</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi><mo>=</mo><mi>a21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>mcm</mi><mo>(</mo><mi>a11</mi><mo>,</mo><mi>a21</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a11</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mfrac><mi>w1</mi><mfenced close="|" open="|"><mi>a21</mi></mfenced></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>e1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>e2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>a11</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b2</mi><mo>=</mo><mi>f2</mi><mo>*</mo><mi>a21</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a11</mi><mo>*</mo><mi>a21</mi><mo>&gt;</mo><mn>0</mn></mrow><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>igual</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>restem</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>2</mn><mi>a</mi><mo>&nbsp;</mo><mi>de</mi><mo>&nbsp;</mo><mi>la</mi><mo>&nbsp;</mo><mn>1</mn><mi>a</mi><mo>&quot;</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>z1</mi><mo>=</mo><mo>&quot;</mo><mi>diferent</mi><mo>&quot;</mo></mtd></mtr><mtr><mtd><mi>z2</mi><mo>=</mo><mo>&quot;</mo><mi>les</mi><mo>&nbsp;</mo><mi>sumem</mi><mo>&quot;</mo></mtd></mtr></mtable></apply></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>6</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>f1</mi><mo>,</mo><mi>f2</mi><mo>)</mo></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo>,</mo><mn>1</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e21</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>18</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e22</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>12</mn><mo>*</mo><mi>y</mi><mo>=</mo><mo>-</mo><mn>36</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>1</mn><mspace linebreak="newline"/><mi>y</mi><mo>=</mo><mo>#</mo><mi>s</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per eliminar x, el mcm de #a11 i #a21 és #w1.

Així doncs, multipliquem

  • la 1a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8201;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»21«/mn»«/math»
  • la 2a per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»f«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»2«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»§#8594;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#007F00¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#007F00¨»e«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#007F00¨»22«/mn»«/math»

i com que #b1 i #b2 tenen signe #z1,  #z2 per eliminar x.

Es fa el mateix per eliminar y.

 

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Si trobem solució, el sistema és compatible determinat.

Si surt 0x+0y=0, el sistema és compatible indeterminat.

Si surt 0x+0y=No-zero el sistema és incompatible.

]]> 4.04.3.1.61 SistLinealQualsev TriaResposta Considera el sistema d'equacions«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfenced close="" open="{"»«mtable»«mtr»«mtd»«mi»#e_01«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#e_02«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
Quin tipus de sistema és? Quina/es solució/ns té?

Atenció: hi ha més d'una resposta vàlida
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open=&quot;[&quot;&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;106&lt;/mn&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;76&lt;/mn&gt;&lt;mn&gt;49&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_31&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;ms&gt;és&lt;/ms&gt;&lt;mo&gt; &lt;/mo&gt;&lt;ms&gt;compatible&lt;/ms&gt;&lt;mo&gt; &lt;/mo&gt;&lt;ms&gt;determinat&lt;/ms&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi&gt;r_32&lt;/mi&gt;&lt;/math&gt;&lt;/input&gt;&lt;output&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;ms&gt;Cap&lt;/ms&gt;&lt;mo&gt; &lt;/mo&gt;&lt;ms&gt;solució&lt;/ms&gt;&lt;/math&gt;&lt;/output&gt;&lt;/command&gt;&lt;/group&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;/&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/session&gt;</wirisCasSession></question> 4.04.3.1.62 SistLinealQualsev TriaResposta_2 Considera el sistema d'equacions«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨¨ open=¨{¨»«mtable»«mtr»«mtd»«mi»#e_01«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#e_02«/mi»«/mtd»«/mtr»«/mtable»«/mfenced»«/math»
Quin tipus de sistema és? Quina/es solució/ns té?

Atenció: hi ha més d'una resposta vàlida

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xmlns="http://www.w3.org/1998/Math/MathML"><mi>e_12</mi><mo>=</mo><mi>a_21</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>a_22</mi><mo>*</mo><mi>y</mi><mo>=</mo><mi>a_23</mi></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Regla</mi><mo> </mo><mi>de</mi><mo> </mo><mi>Cramer</mi></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mo>=</mo><mi>a_11</mi><mo>*</mo><mi>a_22</mi><mo>-</mo><mi>a_21</mi><mo>*</mo><mi>a_12</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D_x</mi><mo>=</mo><mi>a_13</mi><mo>*</mo><mi>a_22</mi><mo>-</mo><mi>a_23</mi><mo>*</mo><mi>a_12</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D_y</mi><mo>=</mo><mi>a_11</mi><mo>*</mo><mi>a_23</mi><mo>-</mo><mi>a_21</mi><mo>*</mo><mi>a_13</mi></math></input></command><command><input><math 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