SOLUTION: Solve by the elimination method -x+6y=1 x+6y=2

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Question 1127218: Solve by the elimination method
-x+6y=1
x+6y=2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

-x%2B6y=1...eq.1
x%2B6y=2.....eq.2
------------------------add eq.1 and eq.2
-x%2B6y%2Bx%2B6y=1%2B2
-cross%28x%29%2B12y%2Bcross%28x%29=3
12y=3

y=3%2F12.......simplify
y=1%2F4
go to x%2B6y=2.....eq.2 substitute y
x%2B6%281%2F4%29=2
x%2B%283%2F2%29=2
x=2-%283%2F2%29
x=4%2F2-3%2F2
x=1%2F2