Question

How do you solve the system using the elimination method for y = (2/5)x– 7, y = (2/5)x + 4?

Answer 1

No solutions.

Explanation:

It is easier to solve this system observing that your equations represent, basically, 2 parallel lines; the first one passing through `y=-7` and the second through `y=4` but with the sane slope `m=2/5`!
Using elimination you would get:
`{y=2/5x-7`
`{y=2/5x+4` multiply the first one by `-1`:

`{-y=-2/5x+7`
`{y=2/5x+4` add:

`0=0+11` that is not true and also you lost your variables!

Graphically: