Question

RESUELVE:

x/7 + y/3 = 5
3y - x/14 =26
DAR: X+ Y

Answer 1

x/7 + y/3 = 5 
3y - x/14 =26
$\frac{x}{7}+ \frac{y}{3} =5$
$3y- \frac{x}{14} =26$

DAR: X+ Y

$3y- \frac{x}{14} =26$
$3y=26+ \frac{x}{14}$
$y= \frac{(26+ \frac{x}{14})}{3}$
$y=\frac{26}{3}+\frac{x}{42}$ Sustituyendo en la primera:

$\frac{x}{7}+ \frac{(\frac{26}{3}+\frac{x}{42})}{3} =5$
$\frac{x}{7}+ (\frac{26}{9}+\frac{x}{126})=5$

$\frac{x}{7}+\frac{x}{126}=5-\frac{26}{9}$

$\frac{126x+7x}{882}= \frac{45}{9}-\frac{26}{9}$
$\frac{133x}{882}= \frac{19}{9}$
$x=\frac{(19)(882)}{(9)(133)}$
x=14

$y=\frac{26}{3}+\frac{x}{42}$

$y=\frac{26}{3}+\frac{14}{42}$

$y=\frac{26}{3}+\frac{14}{42}= \frac{1092+42}{126} = \frac{1134}{126} =9$

x=14, y=9

x+y=14+9=23

Saludos,