# How do you solve by elimination x + y = 2 and 2x + y = -1?

Apr 27, 2018

$x = - 3 , y = 5$

#### Explanation:

Subtracting equations,

$x - 2 x = 2 - - 1$

$- x = 3$

$x = - 3$

$y = 2 - x = 2 - - 3 = 5$

Check:

-3 + 5 = 2 quad sqrt

 2(-3) + 5 = -1 quad sqrt