Question

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

Answer 1

No solutions. Lines are parallel.

Explanation:

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

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

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

`2y=4x+8` or `y=2x+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]}