Question 177696
2/x-3/y = 2

2y-3x = 2xy

3/x+ 4/y = 25

3y + 4x = 25xy

y = xy + 3x/2

y = x(y+3/2)

y = x(25y/3-4/3)

y + 3/2 = 25y/3 - 4/3

2y + 3 = 50y/3 - 8/3

6y + 9 = 5oy - 8

44y = 17

y = 17/44

and 

2/x - 3* 44/17 = 2

2/x = 2 + 132/17

2/x = 166/17

1/x = 83/17

so x = 17/83 and y = 17/44