4t ESO/4.04 EQUACIONS/4.04.1 Equació 1r grau/4.04.1.2 Transposar termes 4.04.1.2.61Q Resol ax+b=cx+d (a,b,c,d aleat) Resol: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mo mathvariant=¨bold¨ mathcolor=¨#00007F¨»#«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#00007F¨»eq_«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#00007F¨»01«/mn»«/mrow»«/mstyle»«/math»

Format de la resposta: x=-2 o x=-3/2 (enter o fracció simplificada)

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]]> 1.0000000 0.3333333 0 0 #r_11]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol 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xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>38</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>8</mn><mo>=</mo><mo>-</mo><mn>6</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>42</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_11</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>17</mn><mn>16</mn></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x</mi><mo>=</mo><mo>-</mo><mfrac><mn>17</mn><mn>16</mn></mfrac></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></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"><mo>#</mo><mi>r</mi><mo>_</mo><mn>11</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="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Primer fem desaparèixer les x de la dreta i els nombres de l'esquerra, sumant o restant als dos costats de l'igual.

Per les x, cal #g #c_1*x als dos costats de l'igual,

i pels nombres, cal #p #b_1 als dos costats de l'igual:

#a*x #h #c_1*x #k #b_1 #q #b_1 = #c*x #h #c_1*x #l #d_1#q #b_1

ara cal agrupar.

]]> Tenim que:

#a*x #h #c_1*x #k #b_1 #q #b_1 = #c*x #h #c_1*x #l #d_1#q #b_1

agrupant ens queda: #m*x = #n

Ja es pot resoldre dividint els dos membres per #m

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