SOLUTION: x/4 - y/11 = -9/44 x/6 - y/13 = -1/26

Algebra ->  Equations -> SOLUTION: x/4 - y/11 = -9/44 x/6 - y/13 = -1/26      Log On


   

Question 151456: x/4 - y/11 = -9/44
x/6 - y/13 = -1/26
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x/4 - y/11 = -9/44
x/6 - y/13 = -1/26
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Simpify left side of each:
(11x - 4y)/44 = -9/44
(13x - 6y)/78 = -3/78
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Equate the numerators:
11x - 4y = -9
13x - 6y = -3
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Multiply 1st by 3
Multiply 2nd by 2
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33x - 12y = -27
26x - 12y = -6
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Subtract 2nd from 1st to get:
7x = -21
x = -3
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Substitute into 11x -4y = -9 to solve for "y":
11*-3 -12y = -27
-33 -12y = -27
-12y = 6
y = -1/2
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Cheers,
Stan H.