I do not understand how to slove systems of equations by elimination Example: -4x-2y=-12 and then this one goes under it 4x+8y=-24 i have my...

Falynmarie is right that you would often want to change one of the equations to positive or negative by multiplying both sides by -1. However, with this one, I think you are fine as you are.

-4x - 2y = -12

4x + 8y = -24

______________

0 + 6y = -36

or 6y = -36

Then divide both sides by 6 to isolate the y:

6y = -36

y = -6

Now substitute the -6 to find x:

-4x - 2 (-6) = -12

-4x - (-12) = -12

-4x + 12 = -12

Subtract 12 from both sides:

-4x = -24

x = 6

Let's try it with the other equation too:

4x + 8 (-6) = -24

4x - 48 = -24

add 48 to both sides:

4x = 24

x = 6

So, the end result is that x = 6 and y = -6