Question

solve the following pair of equation. 5/x-1 +1/y-2=2

Answer 1

5/x-1+1/y-2 =2

take LCM

5(y-2)+1(x-1)/(x-1)×(y-2) =2

5y-10+x-1/xy-2x-y+1 =2 take denominator RHS side

x+5y-11=2xy-4x-2y+2 take LHS SIDE

x+5y-11-2xy+4x+2y-2=0

5x+7y-15-2xy=0

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