2x+y=5

x+4y=-8

Solve graphically, numerically, algebraically w / substitution & elimination

I'll do substitution for you.

Lets flip the second equation around a little to make it x=-4y-8

Now plug it into the first equation.

2 (-4y-8) + y=5

-8y-16+y=5

-7y=21

y=-3

Plug it back in to get x and then you solved the system.

2x-3=5

2x=8

x=4

So the solution to the system is

(4,-3)

Now to do it via elimination ...

Lets get rid of the x to just leave the y

Multiply the second equation by - 2 ...

2x+y=5

-2x-8y=16

combine like terms ...

-7y=21

y=-3

plug it in again ...

2x-3=5

2x=8

x=4

(4,-3)