# How do you solve -2x – 0y = -4 and -6x – 2y = -12?

Jun 21, 2016

$\left(x , y\right) = \left(2 , 0\right)$

#### Explanation:

Given
[1]$\textcolor{w h i t e}{\text{XXX}} - 2 x - 0 y = - 4$
[2]$\textcolor{w h i t e}{\text{XXX}} - 6 x - 2 y = - 12$

From [1] we have
[3]$\textcolor{w h i t e}{\text{XXX}} - 2 x = - 4$

[4]$\textcolor{w h i t e}{\text{XXX}} x = 2$

Substituting $2$ for $x$ (from [4]) into [2]
[5]$\textcolor{w h i t e}{\text{XXX}} - 6 \left(2\right) - 2 y = - 12$

[6]$\textcolor{w h i t e}{\text{XXX}} - 12 - 2 y = - 12$

[7]$\textcolor{w h i t e}{\text{XXX}} - 2 y = 0$

[8]$\textcolor{w h i t e}{\text{XXX}} x = 0$