SOLUTION: The Addition Method Solve each system by addition. 3x + 5y = -11 x - 2y = 11

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Question 281030: The Addition Method
Solve each system by addition.
3x + 5y = -11
x - 2y = 11

Answer by brucewill(101) About Me  (Show Source):
You can put this solution on YOUR website!
3x + 5y = -11
x - 2y = 11
Multiply second equation by -3 (to eliminate the x term)
3x + 5y = -11
-3x + 6y = -33
Add Equations together:
11y = -44
y = -4
Substitute for y into first equation:
3x + 5(-4) = -11
3x = 9
x = 3
Prove the answer: aubstitute into original equations:
3(3) + 5(-4) = 11 (9 - 20 = 11)
-3(3) + 6(-4) = -33 (-9 - 24 = 33).