# How do you solve x - y = 6 and x + y = -2?

May 7, 2018

$x = 2 , y = - 4$

#### Explanation:

The question comes up with using substitution, if you rearrange the first equation $x - y = 6$ to $x = 6 + y$
Then substitute this into the second equation
$x + y = - 2 \implies \left(6 + y\right) + y = - 2$
$6 + 2 y = - 2$
$2 y = - 8$
$y = - 4$
Put $y = - 4$ into either equation
$\implies x - \left(- 4\right) = 6 \implies x + 4 = 6 \implies x = 2$