Solve by linear combination

 

Write down the problem,

one equation over the other lining up the

x's and the y's.

2x-4y=13

4x-5y=8

In this problem we will multiply the top

equation by -2 so we can subtract the

x's. Then solve for y.

-2(2x-4y=13)

4x-5y=8

3y=-18

y=-6

Now plug the y into one of the original

equations to find x.

2x+24=13

2x=-14

x=-7

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