# How do you solve the following system of equations?: x-2y=13 , x - y= 10?

Mar 7, 2018

lettuce solve for $x$ as it is same in both equations

${1}^{s t} e q u a t i o n$
$x - 2 y = 13$
Transfer $2 y$
$x = 13 + 2 y$

${2}^{n d} e q u a t i o n$
$x - y = 10$
Put value of $x$
$13 + 2 y - y = 10$
Solve
$13 + y = 10$
Transfer $13$
$y = 10 - 13$
color(red)(y=-3
$x = 13 + 2 y$
$x = 13 + 2 \times - 3$
$x = 13 - 6$
color(red)(x=7