How do you solve the following system: -6x + 5y = 4 , x-10y=10 ?

1 Answer
moutar ยท Stefan V.
Jan 10, 2016

x=-18/11, y=-64/55

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 double the first equation we get:

-12x + 10y = 8

x - 10y = 10

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

-11x = 18 implies x=-18/11

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

-6*-18/11 + 5y =4
108/11 +5y = 4
5y=-64/11
y=-64/55

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