How do you solve the system of equations 6x - 6y = 18 and x + 2y = 6?

1 Answer
May 8, 2017

y=1

x=4

Explanation:

First, take the second equation and subtract 2y from both sides:
x=6-2y

Substitute this value in for x for the first equation:
6(6-2y)-6y=18

Distribute the 6 to (6-2y):
36-12y-6y=18

Combine like terms:
36-18y=18

Subtract 36 from both sides:
-18y=-18

Divide both sides by -18 to isolate y:
y=1

Substitute 1 in for y in either equation to solve for x:
x+2(1)=6 -> x+2=6 -> x=4