SOLUTION: Solve each system by the addition method. (Please ^_^) 3x - 4y = 11 2x + 3y = -4

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Question 523157: Solve each system by the addition method. (Please ^_^)
3x - 4y = 11
2x + 3y = -4

Answer by Mohammad123(2) About Me  (Show Source):
You can put this solution on YOUR website!
In this example none of the coefficients are opposites. We need to multiply the equations with some numbers to get the coefficients opposite. Lets take the coefficients of y.
3(3x - 4y = 11) < equation 1
+ 4(2x + 3y = -4) < equation 2
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Add the two equations to eliminate y.
9x - 12y = 33
+ 8x + 12y = -16
------------------
17x = 17
Isolate variable x
x=1
To get the value of y you need to use the substitution method. Substitute x = 2 into equation 1.
3x-4(1)=11
3x-4=11
3x=15
x=5
Therefore x=1 and y=5
Thanks, Mohammad