# What is the solution to the system of linear equations 2x+y=-9, -2x-3y=11?

Apr 24, 2018

$\left(x , y\right) = \left(- 4 , - 1\right)$

#### Explanation:

$2 x + y = - 9$

$- 2 x - 3 y = 11$

-2y = 2

$y = - 1$

$x = \frac{1}{2} \left(- 9 - y\right) = \frac{1}{2} \left(- 9 - - 1\right) = - 4$

$\left(x , y\right) = \left(- 4 , - 1\right)$

Check:

 2(-4) + -1 = -9 quad sqrt

-2 (-4) -3 (-1) = 8 + 3= 11 quad sqrt