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

1 Answer
Jan 10, 2016

x=-32/7 y=-12/7

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 implies y=-12/7

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

x-5*-12/7=4
x+60/7 = 4
x=4-60/7=-32/7
x=-32/7