SOLUTION: Solve by addition method 3/7x + 5/9y = 27 1/9x + 2/7y =7

Question 182376: Solve by addition method
3/7x + 5/9y = 27
1/9x + 2/7y =7
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve by addition method
3/7x + 5/9y = 27
1/9x + 2/7y =7
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The lcm of 7 and 9 is 63.
Multiply thru both equations by 63 to get:
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27x + 35y = 63*27
7x + 18y = 63*7
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Multiply thru the 1st equation by 7 and the 2nd equatio by -27 to get:
7*27x + 7*35y = 7*63*27
7*-27x+18*-27y = -27*63*7
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Add to solve for "y":
(7*35-18*27)y = 7*63*27 - 27*63*7
y = 0
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Substitute into 7x + 18y = 7*63 to solve for "x":
7x = 7*63
x = 63
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Solution: x= 63 and y = 0
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Cheers,
Stan H.
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