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Correct Answer: X < Y

I. 2x + 3y = 14

II. 4x + 2y = 16

By equation I × 2 – equation II × 3, we have

4x + 6y – 12x – 6y = 28 – 48

=> -8x = -20

=> x = 208 = 52

From equation I,

2 ×52 + 3y = 14

=> 3y = 14 – 5 = 9

=> y = 93 = 3

Clearly, x < y