# How do you solve the system 2x – 2y = –2 and y = 5x – 19?

Sep 6, 2016

$x = 5 , y = 6$

#### Explanation:

$2 x - 2 y = - 2$
$\implies 2 \left(x - y\right) = - 2$
$\implies x - y = - 1$
$\implies y = x + 1$

Substitute y=x+1 into y=5x-19
$\implies x + 1 = 5 x - 19$
$4 x = 20$
$x = 5$