# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent Y=-2x-5, Y=x-2?

Nov 21, 2017

$x = - 1 , y = - 3$

#### Explanation:

$y + 2 x = - 5$ Eqn 1
$y - x = - 2$ Eqn 2

Multiply Eqn 2 by 2
$2 y - 2 x = - 4$ Eqn 3

$3 y + 2 x - 2 x = - 5 - 4$
$3 y = - 9$
$y = - 3$
$- 3 - x = - 2$
$- x = 1 \mathmr{and} x = - 1$