If and then
(a) x=2, y=3
(b) x=-2, y=3
(c) x=2, y=-3
(d) x=-2, y=-3

Answer: a)

Solution:
The given system is

Multiplying equation(i) and equation(ii) by 6 , we get

Multiplying equation(iii) by 4 and equation(iv) by 3 and adding, we obtain

Now, putting in equation(iv), we have

Therefore, and .