Question

Solve the following equations
5/x-1+1/y-2=2
6/x-1-3/y-2=1

Answer 1

5/x-1+1/y-2=2 eq 1
6/x-1-3/y-2=1 eq 2
let 1/x-1=u, 1/y-2=v
multiply eq 1 by 3, we get 
15u=3v=6 eq 3
add eq 2 and 3
21u=7
u=1/3
x-1=3
x=4
b=1/3
y-2=3
y=5