How do you solve the following system?: −4x+6y=8,x−5y=4

1 Answer
moutar
Jan 10, 2016

x=−327 y=−127

Explanation:

To solve by elimination you will need to make coefficients of x or y "match" so that when you add or subtract the equations one of the variables will be eliminated.

If we multiply the second equation by 4 we get:

−4x+6y=8

4x−20y=16

Now if we add the two new equations, we will eliminate x and will be able to solve an equation in y.

−14y=24⇒y=−127

Substitute this back into one of the original equations to find x.

x−5⋅−127=4
x+607=4
x=4−607=−327
x=−327

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