Correct Answer: X < Y

I. 2x + 3y = 14

II. 4x + 2y = 16

By equation I \( \Large \times \) 2 - equation II \( \Large \times \) 3, we have

4x + 6y - 12x - 6y = 28 - 48

=> -8x = -20

=> x = \( \Large \frac{20}{8} \) = \( \Large \frac{5}{2} \)

From equation I,

2 \( \Large \times \frac{5}{2} \) + 3y = 14

=> 3y = 14 - 5 = 9

=> y = \( \Large \frac{9}{3} \) = 3

Clearly, x < y