Question

find x and y where x+y/xy= 2 , x-y/xy=6

Answer 1

These are two linear equations. These can be solved by any method.

You should divide each of the equation in two parts and convert the equation into a simple equation with variable 1/x and 1/y.

Then assume these two values p and q and solve it in any method you like. Then after placing the previous values, you will get x=1/4 and y=-1/2.