Question

x-2y=8
2y-3x=-4

Answer 1

Hey :) What's the question? Solve system of equation, solve by elimination/substitution, etc?

Answer 2

substitution

Answer 3

x-2y=8 -----------------(1)
2y-3x=-4 -----------------(2)


x-2y=8 -----------------(1)
-3x+2y=-4 -----------------(2)

adding equation 1 and 2

-2x=4
x=-2
y=-5

Answer 4

Yup, but that's elimination.
If you need to show your work for substitution, you get the same answer but it will look like:
x-2y=8 ----> x=2y+8
2y-3x=-4

I moved x around so it could equal something so I could plug it in to find y.
2y-3(2y+8)=-4
2y-6y-24=-4
-4y=20
y=-5

Back to the first equation to plug in y to find x..
x-2y=8
x-2(-5)=8
x+10=8
x=-2

So you find the same thing as above, x=-2, y=-5. But if you're asked to show your work, you''d get points off for doing elimination. This is how to do it with the substitution method.
Hope this helps :)