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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Resolver el siguiente sistema de ecuaciones:</span></font><br /><br /> <div style="text-align: center;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«menclose notation=¨bottom¨»«menclose notation=¨right¨»«mtable»«mtr»«mtd»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c1«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d1«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#a3«/mi»«mi»#b1«/mi»«mi»#c2«/mi»«mi»#a4«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d2«/mi»«/mtd»«/mtr»«/mtable»«/menclose»«/menclose»«/math»</span><br /></div><br /><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b1«/mi»«mo»=«/mo»«/math»</span>{1:SA:=\#x1#¡Excelente!}</font></font><font size="4" style="color: rgb(0, 0, 0); font-style: italic;"><span style="font-family: times new roman,times,serif;"></span></font> <font size="4"><span style="font-family: times new roman,times,serif; font-style: italic;"></span></font><br /><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b2«/mi»«mo»=«/mo»«/math»</span></font></font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span">{1:SA:=\#y1#¡Excelente!} </font></font><font size="4" style="color: rgb(0, 0, 0); font-style: italic;"><span style="font-family: times new roman,times,serif;"></span></font><br />
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<div style="text-align: left; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Solución:<br /><br />Para resolver el sistema de ecuaciones lo haremos mediante el método de sustitución.<br /><br />Para esto despejaremos la variable "<span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b1«/mi»«/math»</span>" en la primera ecuación y luego la reemplazaremos en la segunda ecuación.<br /><br /></font> <div style="text-align: center;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable»«mtr»«mtd»«mtable»«mtr»«mtd»«mi»#a1«/mi»«mi»#b1«/mi»«mi»#c1«/mi»«mi»#a2«/mi»«mi»#b2«/mi»«/mtd»«/mtr»«/mtable»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d1«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»/«/mo»«/mtd»«mtd»«mo»+«/mo»«mfenced»«mrow»«mi»#z1«/mi»«mi»#b2«/mi»«/mrow»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»#a1«/mi»«mi»#b1«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d1«/mi»«mi»#c3«/mi»«mi»#z1«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»/«/mo»«/mtd»«mtd»«mo»·«/mo»«mfrac»«mn»1«/mn»«mi»#a1«/mi»«/mfrac»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»#b1«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfrac»«mrow»«mi»#d1«/mi»«mi»#c3«/mi»«mi»#z1«/mi»«mi»#b2«/mi»«/mrow»«mi»#a1«/mi»«/mfrac»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«mi»E«/mi»«mi»c«/mi»«mi»u«/mi»«mi»a«/mi»«mi»c«/mi»«mi»i«/mi»«mi»ó«/mi»«mi»n«/mi»«mo»§nbsp;«/mo»«mo»*«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«mo»§nbsp;«/mo»«/mtd»«/mtr»«/mtable»«/math»</span><br /><br /> <div style="text-align: left;"><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">Ahora reemplazamos "<span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable»«mtr»«mtd»«mi»#b1«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfrac»«mrow»«mi»#d1«/mi»«mi»#c3«/mi»«mi»#z1«/mi»«mi»#b2«/mi»«/mrow»«mi»#a1«/mi»«/mfrac»«/mtd»«/mtr»«/mtable»«/math»</span></span></font></span><font size="4">" en la segunda ecuación.<br /><br /></font> <div style="text-align: center;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable»«mtr»«mtd»«mi»#a3«/mi»«mfenced»«mfrac»«mrow»«mi»#d1«/mi»«mi»#c3«/mi»«mi»#z1«/mi»«mi»#b2«/mi»«/mrow»«mi»#a1«/mi»«/mfrac»«/mfenced»«mi»#c2«/mi»«mi»#a4«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d2«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mrow»«mi»#z3«/mi»«mi»#c4«/mi»«mi»#z4«/mi»«mi»#b2«/mi»«/mrow»«mi»#a1«/mi»«/mfrac»«mi»#c2«/mi»«mi»#a4«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d2«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mfrac»«mi»#z3«/mi»«mi»#a1«/mi»«/mfrac»«mo»+«/mo»«mfrac»«mi»#z4«/mi»«mi»#a1«/mi»«/mfrac»«mi»#b2«/mi»«mi»#c2«/mi»«mi»#a4«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d2«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mi»S«/mi»«mi»i«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»i«/mi»«mi»f«/mi»«mi»i«/mi»«mi»c«/mi»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mi»o«/mi»«mo»§nbsp;«/mo»«mi»s«/mi»«mi»i«/mi»«mo»§nbsp;«/mo»«mi»e«/mi»«mi»s«/mi»«mo»§nbsp;«/mo»«mi»p«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»b«/mi»«mi»l«/mi»«mi»e«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#z5«/mi»«mi»#c5«/mi»«mi»#z6«/mi»«mi»#b2«/mi»«mi»#c2«/mi»«mi»#a4«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d2«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«mo»/«/mo»«/mtd»«mtd»«mo»+«/mo»«mfenced»«mi»#z7«/mi»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»#z8«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#d2«/mi»«mi»#c6«/mi»«mi»#z7«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»#z8«/mi»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#z9«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»/«/mo»«/mtd»«mtd»«mo»·«/mo»«mfenced»«mi»#z10«/mi»«/mfenced»«/mtd»«/mtr»«mtr»«mtd»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#z9«/mi»«mo»·«/mo»«mi»#z11«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«/mtr»«mtr»«mtd»«mi»#b2«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#y1«/mi»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»§nbsp;«/mo»«/mtd»«/mtr»«/mtable»«/math»</span><br /></div><font size="4"><br />Ahora para saber el valor de "</font><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b1«/mi»«/math»</span></span></font></span><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"></span></font><span style="font-style: italic;"><font size="4">" reemplazamos </font></span></span><span style="font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#b2«/mi»«mo»=«/mo»«mi»#y1«/mi»«/math»</span></span> en la ecuación *</font></span><br /><br /> <div style="text-align: center;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mtable»«mtr»«mtd»«mi»#b1«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfrac»«mrow»«mi»#d1«/mi»«mi»#c3«/mi»«mi»#z1«/mi»«mo»·«/mo»«mi»#z12«/mi»«/mrow»«mi»#a1«/mi»«/mfrac»«/mtd»«/mtr»«mtr»«mtd»«mo»§nbsp;«/mo»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#x1«/mi»«/mtd»«/mtr»«/mtable»«/mtd»«/mtr»«/mtable»«/math»</span><br /></div> <br /><font size="4">Por lo tanto:</font><br /> <div style="text-align: center;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mtable columnalign="left" rowspacing="0"»«mtr»«mtd»«mi»#b1«/mi»«mo»=«/mo»«mi»#x1«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»#b2«/mi»«mo»=«/mo»«mi»#y1«/mi»«/mtd»«/mtr»«/mtable»«/math»</span><br /></div></div></div></div>
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