# How do you solve 2x-y=-1 and 3x+2y=-5?

Sep 6, 2015

x = -1
y = -1

#### Explanation:

2x - y = - 1 -------------------(1)
3x + 2y = - 5 --------------(2)

Solve equation (1) for y
-y = - 1 - 2x
y = 1 + 2x

Put the value y = 1 + 2x in the equation (2)

3x + 2(1 + 2x) = - 5
3x +2 + 4x = - 5
7x = - 5 - 2
$x = \frac{- 7}{7}$
x = -1

put the value x = -1 in equation (1)

3(-1) +2y = -5
-3 + 2y = -5
2y = -5 +3
$y = - \frac{2}{2} = - 1$