Solve for x and y
5/(x-1) + 1/(y-2) = 2
6/(x-1) - 3/(y-2) = 1
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let 1/(x-1)=a, 1/(y-2)=b
solving
5a+b=2 and 6a-3b=1
we will get
a=1/3, b=1/3
so,
x=4
y=5
solving
5a+b=2 and 6a-3b=1
we will get
a=1/3, b=1/3
so,
x=4
y=5
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