Eliminaton

Katie S., Sarah E. and Katie G.

2x + y = 6 6x - 2y = -12 None of the variables are the same in these two equations. But, we can make them the same by using multiplication.

If you multiply 2x by -3, it changes to -6. But, since we multiplied 2x by -3, we have to multiply the whole problem by -3.

So, it turns into: -6x + 3y = -18 6x - 2y = -12

We can cancel out the x's by addition. But, this means we have to add the whole problem together.

1y = -30

Now we have to get the y alone.

y= 30

Not that we know y=30, we have to plug it in to one of the beginning problems so that we can solve for x. It doesn't matter which one you plug it in to.

6x - 2(30) = -12

Simplify to solve for x.

6x - 60 = -12 6x= 48 x=8

(8,30) is the answer. 7.4