# How do solve the following linear system?:  x+y=-4, x-y=2 ?

Jun 20, 2018

$x = - 1 , y = - 3$

#### Explanation:

By adding the two equations together you eliminate the $y$ variable

$2 x = - 2$

$x = - 1$

substitute $x = - 1$ into $x + y = - 4$

$- 1 + y = - 4$

$y = - 3$