SOLUTION: Solve the following equation: 4ax+by=11ab 8ax-5by=ab

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Question 258774: Solve the following equation:
4ax+by=11ab
8ax-5by=ab

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4ax+by=11ab
8ax-5by=ab
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Multiply the 1st eq by 2 to get:
8ax + 2by = 22ab
8ax-5by = ab
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Subtract the 2nd from the 1st and solve for "y":
7by = 21ab
y = 3a
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Substitute into 4ax+by = 11ab to solve for "x":
4ax + b(3a) = 11ab
Divide thru by a to get:
4x + 3b = 11b
4x = 8b
x = 2b
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Solution: (2b,3a)
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Cheers,
Stan H.