How to solve a system of equations using elimination?

If you have a problem like:

4x+2y=20

2x+2y=16

You would subtract

4x-2y=20

-2x+2y=16

You would get the new problum

2x=4

You now want to divide the 2 on both sides to solve for x

x=2

Now that you've solved for X you want to solve for y. So use substitution to solve for y. You would want to substatute the x for the 2 in either of the problums. I'll use the first one.

4 (2) + 2y=20

You first want to multiply te 4 (2) you would get a new problum.

8+2y=20

Now you want to subtract the 8 on both sides.

2y=12

The last step to solve for y is to divide the 2 on both sides.

Y=6

So your answers would be

x=2

y=6