# How do you solve the system using the elimination method for y=3x+17 and y=-2x-8?

##### 1 Answer
Jun 26, 2015

Subtract the second equation from the first eliminating $y$; solve for $x$; then substitute the value for $x$ back into one of the original equations to solve for $y$.
$\left(x , y\right) = \left(- 5 , 2\right)$

#### Explanation:

[1]$\textcolor{w h i t e}{\text{XXXX}}$$y = 3 x + 17$
[2]$\textcolor{w h i t e}{\text{XXXX}}$$y = - 2 x - 8$

subtract [2] from [1]
[3]$\textcolor{w h i t e}{\text{XXXX}}$$0 = 5 x + 25$
[4]$\textcolor{w h i t e}{\text{XXXX}}$$x = - 5$

substitute $\left(- 5\right)$ for $x$ in [1]
[5]$\textcolor{w h i t e}{\text{XXXX}}$$y = 3 \left(- 5\right) + 17$
[6]$\textcolor{w h i t e}{\text{XXXX}}$$y = 2$