# How do you solve the system by graphing -2x-y=-2, 4x+y=4?

##### 1 Answer
Jun 6, 2016

The solution for the system of equations is:
color(green)(x=1
color(green)(y=0

#### Explanation:

$- 2 x - y = - 2$, multiplying the equation by $2$

$- \textcolor{b l u e}{4 x} - 2 y = - 4$.......equation $\left(1\right)$
$\textcolor{b l u e}{4 x} + y = 4$....................equation $\left(2\right)$

Solving by elimination:
Adding equations $1$ and $2$ in order to eliminate color(blue)(4x:

$- \cancel{\textcolor{b l u e}{4 x}} - 2 y = - 4$
$\cancel{\textcolor{b l u e}{4 x}} + y = 4$

$- y = 0$
color(green)(y=0

Finding $x$ by substituting the value of $y$ into equation $1 :$

$- 2 x - y = - 2$

$- 2 x - \textcolor{g r e e n}{0} = - 2$

$- 2 x = - 2$

$x = \frac{- 2}{- 2}$

color(green)(x=1