# How do you solve by substitution  x + y = 10 and y = x + 8?

Mar 8, 2018

color(magenta)(therefore x=1 and y=9

#### Explanation:

$y = x + 8$

Given that,

$x + y = 10$

$x + x + 8 = 10$

$2 x + 10 = 8$

$2 x = 10 - 8$

$2 x = 2$

$x = \frac{2}{2}$

color(red)(x=1

$y = x + 8$

$y = 1 + 8$

color(red)(y=9

color(magenta)(therefore x=1 and y=9

~Hope this helps! :)