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Question

Solve by reducing the equation method.
30xy+44x+y=10
40xy+55x+y=13

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Solution

Let 1xy=A and 1x+y=B
so, equation will be 30A+44B=10
and 40A+55B=13
on solving, we get B=111 and A=15
so, A=15=1xy
and B=111=1x+y
so, xy=5
and x+y=11
on solving, we get x=8 and y=3
Hence, the answer is 8,3.




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