Respuestas
Respuesta dada por:
5
x/7 + y/3 = 5
3y - x/14 =26
![\frac{x}{7}+ \frac{y}{3} =5
\frac{x}{7}+ \frac{y}{3} =5](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7B7%7D%2B+%5Cfrac%7By%7D%7B3%7D+%3D5%0A)
![3y- \frac{x}{14} =26 3y- \frac{x}{14} =26](https://tex.z-dn.net/?f=3y-+%5Cfrac%7Bx%7D%7B14%7D+%3D26+)
DAR: X+ Y
![3y- \frac{x}{14} =26 3y- \frac{x}{14} =26](https://tex.z-dn.net/?f=3y-+%5Cfrac%7Bx%7D%7B14%7D+%3D26+)
![3y=26+ \frac{x}{14} 3y=26+ \frac{x}{14}](https://tex.z-dn.net/?f=3y%3D26%2B+%5Cfrac%7Bx%7D%7B14%7D)
![y= \frac{(26+ \frac{x}{14})}{3} y= \frac{(26+ \frac{x}{14})}{3}](https://tex.z-dn.net/?f=y%3D+%5Cfrac%7B%2826%2B+%5Cfrac%7Bx%7D%7B14%7D%29%7D%7B3%7D+)
Sustituyendo en la primera:
![\frac{x}{7}+ \frac{(\frac{26}{3}+\frac{x}{42})}{3} =5 \frac{x}{7}+ \frac{(\frac{26}{3}+\frac{x}{42})}{3} =5](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7B7%7D%2B+%5Cfrac%7B%28%5Cfrac%7B26%7D%7B3%7D%2B%5Cfrac%7Bx%7D%7B42%7D%29%7D%7B3%7D+%3D5)
![\frac{x}{7}+ (\frac{26}{9}+\frac{x}{126})=5 \frac{x}{7}+ (\frac{26}{9}+\frac{x}{126})=5](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7B7%7D%2B+%28%5Cfrac%7B26%7D%7B9%7D%2B%5Cfrac%7Bx%7D%7B126%7D%29%3D5)
![\frac{x}{7}+\frac{x}{126}=5-\frac{26}{9} \frac{x}{7}+\frac{x}{126}=5-\frac{26}{9}](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7B7%7D%2B%5Cfrac%7Bx%7D%7B126%7D%3D5-%5Cfrac%7B26%7D%7B9%7D)
![\frac{126x+7x}{882}= \frac{45}{9}-\frac{26}{9} \frac{126x+7x}{882}= \frac{45}{9}-\frac{26}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B126x%2B7x%7D%7B882%7D%3D+%5Cfrac%7B45%7D%7B9%7D-%5Cfrac%7B26%7D%7B9%7D)
![\frac{133x}{882}= \frac{19}{9} \frac{133x}{882}= \frac{19}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B133x%7D%7B882%7D%3D+%5Cfrac%7B19%7D%7B9%7D)
![x=\frac{(19)(882)}{(9)(133)} x=\frac{(19)(882)}{(9)(133)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%2819%29%28882%29%7D%7B%289%29%28133%29%7D)
x=14
![y=\frac{26}{3}+\frac{x}{42} y=\frac{26}{3}+\frac{x}{42}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B26%7D%7B3%7D%2B%5Cfrac%7Bx%7D%7B42%7D)
![y=\frac{26}{3}+\frac{14}{42} y=\frac{26}{3}+\frac{14}{42}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B26%7D%7B3%7D%2B%5Cfrac%7B14%7D%7B42%7D)
![y=\frac{26}{3}+\frac{14}{42}= \frac{1092+42}{126} = \frac{1134}{126} =9 y=\frac{26}{3}+\frac{14}{42}= \frac{1092+42}{126} = \frac{1134}{126} =9](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B26%7D%7B3%7D%2B%5Cfrac%7B14%7D%7B42%7D%3D+%5Cfrac%7B1092%2B42%7D%7B126%7D+%3D+%5Cfrac%7B1134%7D%7B126%7D+%3D9)
x=14, y=9
x+y=14+9=23
Saludos,
3y - x/14 =26
DAR: X+ Y
x=14
x=14, y=9
x+y=14+9=23
Saludos,
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