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Question

Solve the following system of equation:
12x1y=1
1x+12y=8 ,where x 0, y 0.

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Solution

12x1y=1
=>12x+1=1y
=>1+2x2x=1y
=>y=2x2x+11x+12y=8
=>1x8=12y
=>18xx=12×2x+12x
=>432x=2x1=>30x=5
=>x=16y=2×162×16+1=1313+1=13×34
=>y=14

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