# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent 2x + 2y = 12 and  x - y = 4?

Dec 9, 2015

$\left(x , y\right) = \left(5 , 1\right)$

#### Explanation:

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

Multiply [2] by $2$
[3]$\textcolor{w h i t e}{\text{XXX}} 2 x - 2 y = 8$

[4]$\textcolor{w h i t e}{\text{XXX}} 4 x = 20$
Divide both sides by $4$
[5]$\textcolor{w h i t e}{\text{XXX}} x = 5$
[6]$\textcolor{w h i t e}{\text{XXX}} 4 y = 4$
[7]$\textcolor{w h i t e}{\text{XXX}} y = 1$