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

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Question 175936: Solve each system by the addition method.
3/7x+5/9y=27
1/9x+2/7y=7
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) %283%2F7%29%2Ax+%2B+%285%2F9%29%2Ay+=+27
(2) %281%2F9%29%2Ax+%2B+%282%2F7%29%2Ay+=+7
Multiply both sides of (1) by 7%2F27
(3) %287%2F27%29%2A%283%2F7%29%2Ax+%2B+%287%2F27%29%2A%285%2F9%29%2Ay+=+%287%2F27%29%2A27
(3) %281%2F9%29%2Ax+%2B+%2835%2F243%29%2Ay+=+7
(2) %281%2F9%29%2Ax+%2B+%282%2F7%29%2Ay+=+7 subtract (2) from (3)
-----------------------------------
(4) %2835%2F243%29%2Ay+-+%282%2F7%29%2Ay+=+0
y+=+0
(2) %281%2F9%29%2Ax+%2B+%282%2F7%29%2Ay+=+7
%281%2F9%29%2Ax+=+7
x+=+63
check:
(1) %283%2F7%29%2Ax+%2B+%285%2F9%29%2Ay+=+27
%283%2F7%29%2Ax+=+27
x+=+63
(63,0) is the solution