Question

Solve the following pair of equation by suitable method;
$\frac{5 }{x - 1} + \frac{1}{y - 2} = 2 \: and \: \: \frac{6}{x - 1} - \frac{3}{y - 2} = 1$

Answer 1

5/(x-1) +1/(y-2) =2
=>1/(y-2) = 2-5/(x-1)

6/(x-1)-3×(1/(y-2))=1
=>2+(6/(x-1))-(5/(x-1))=1
=>1/(x-1)=-1
=>x-1=-1
=>x=0

so 1/(y-2)=2-5/-1
=>1/(y-2)=7
=>y-2=1/7
=>y=15/7

Answer, (x,y)=(0,15/7)