How do you solve -10x - 2y = 5610x2y=56 and 6x - 2y = -40 6x2y=40?

1 Answer
Jun 17, 2018

Eliminate one variable between the two equations

Explanation:

Subtract second equation from the first:
(-10x-2y)-(6x-2y)=56-(-40)(10x2y)(6x2y)=56(40)
-16x=9616x=96
x=-6x=6

Substitute this into the second equation:
6(-6)-2y=-406(6)2y=40
-36-2y=-40362y=40
-2y=-42y=4
y=2y=2

So (x,y)=(-6,2)(x,y)=(6,2).