# How do you solve the system using the elimination method for y=3-4x and -3x-y=2?

Jul 22, 2015

$\left(x , y\right) = \left(5 , - 17\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(using the elimination method)

#### Explanation:

[1]$\textcolor{w h i t e}{\text{XXXX}}$$y = 3 - 4 x$
[2]$\textcolor{w h i t e}{\text{XXXX}}$$- 3 x - y = 2$

Re-write [1] in standard form
[3]$\textcolor{w h i t e}{\text{XXXX}}$$4 x + y = 3$

Add [2] and [3] (eliminating $y$)
[4]$\textcolor{w h i t e}{\text{XXXX}}$$x = 5$

Substitute $5$ for $x$ [1]
[5]$\textcolor{w h i t e}{\text{XXXX}}$$y = 3 - 4 \left(5\right)$

Simplify
[6]$\textcolor{w h i t e}{\text{XXXX}}$$x = - 17$