How many soultions does this linear system have? y=2x-5 - 8x-4y=-20?

One solution.

Step-by-step explanation:

I'm assuming you're allowed to use your graphing calculator for this problem. So, if you plug in the two lines in a graphing calculator, you'd see they have one solution.

If you don't have access to a calculator, though, you can find out the number of solutions by changing the second one to y=mx+b.

This is done like so:

-8x-4y=-20

-8x-4y+20=0

-8x+20=4y

y=-2x+20

You can see that they are not the same equation, so it would have one solution because they would cross once.