# How do you solve the system by graphing 2x – y = 4 and 4x – 2y =-8?

May 3, 2016

No solutions. Lines are parallel.

#### Explanation:

Converting $2 x - y = 4$ to slope intercept form, we get

$y = 2 x - 4$, i.e. slope is $2$ and intercept on $y$-axis is $- 4$

Converting $4 x - 2 y = - 8$ to slope intercept form, we get

$2 y = 4 x + 8$ or $y = 2 x + 4$, i.e. slope is $2$ and intercept on $y$-axis is $4$

As the slope of the two is same, the lines are parallel and hence no solution.

graph{(2x-y-4)(4x-2y+8)=0 [-10, 10, -5, 5]}