# 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 = 4Answer by Nate(3500)   (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)