# How do you solve the simultaneous equations x + 2y = 5 and 3x - 2y + 7?

Jul 24, 2015

$\left(x , y\right) = \left(3 , 1\right)$

#### Explanation:

[1]$\textcolor{w h i t e}{\text{XXXX}}$$x + 2 y = 5$
[2]$\textcolor{w h i t e}{\text{XXXX}}$$3 x - 2 y = 7$

[3]$\textcolor{w h i t e}{\text{XXXX}}$$4 x = 12$
[4]$\textcolor{w h i t e}{\text{XXXX}}$$x = 3$
Substituting $3$ for $x$ in [1]
[5]$\textcolor{w h i t e}{\text{XXXX}}$$3 + 2 y = 5$
[6]$\textcolor{w h i t e}{\text{XXXX}}$$y = 1$