Quant Boosters  Quant Mixed Bag  Set 1

2xy  3x  y = 4
2x(y  3/2)  y = 4
add 3/2on both sides
2x(y  3/2)  y + 3/2 = 4 + 3/2
2x(y  3/2)  1(y  3/2) = 11/2
(2x  1)(y  3/2) = 11/2
(2x  1)(2y  3) = 11
11 = 1 * 11
Case1) 2x  1 = 1 => x=1
2y  3 = 11, y = 7
Case2) 2x  1 = 11
x = 6
2y  3 = 1, y = 2
so 7/9