SOLUTION: Solve by the Elimination Method 2/3x + 1/2y = 9 1/3x - 1/9y = 4

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Question 85521: Solve by the Elimination Method
2/3x + 1/2y = 9
1/3x - 1/9y = 4
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
2/3x + 1/2y = 9
1/3x - 1/9y = 4
Match X's for Simplicity~
2/3x + 1/2y = 9
-2(1/3x - 1/9y = 4)
~
2/3x + 9/18y = 9
-2/3x + 4/18y = -8
Sum Both~
13/18y = 1
y = 18/13
Plug~
2/3x + 1/2y = 9
2/3x + 1/2(18/13) = 9
2/3x + 9/13 = 117/13
2/3x = 108/13
x = 108/13(3/2)
x = 162/13
(162/13,18/13)
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