I get (x,y) = (2,2/3) or (0,0). What does your booklet gives as the solution?
You have two equations: 1) x+y = 2xy 2) x-y =xy
In the first equation make y the subject. This gives you your third equation 3) y = 2xy-x > simplify > y = x(2y-1)
Sustitute this 3rd equation into the 2nd equation and solve it simultaneously.
I get x = 2x(2y-1) and y = -2x(y-1) Hope this helps! :-)