# How do you solve the system of equations: 2X= -Y-2, Y=-4?

Aug 8, 2015

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

#### Explanation:

[1]$\textcolor{w h i t e}{\text{XXXX}}$$2 x = - y - 2$
[2]$\textcolor{w h i t e}{\text{XXXX}}$$y = - 4$

Substituting $\left(- 4\right)$ for $y$ (from [2]) into [1]
[3]$\textcolor{w h i t e}{\text{XXXX}}$$2 x = - \left(- 4\right) - 2$

Simplifying and dividing by 2
[4]$\textcolor{w h i t e}{\text{XXXX}}$$x = 1$