Correct Answer: x > y

I. 4x + 2y = 51

II. 13x + 15y = 221

Multiplying equation I by 15 and II by 2 and by I - II,

\( \Large 60x + 30y = 765 \) -- (1)

\( \Large -26x \pm 30y = -442 \) --(2)

\( \Large => 34x = 323 \)

=> x = \( \Large \frac{323}{34} \) = 9.5

From equation I,

4 \( \Large \times \) 9.5 + 2y = 51

=> 38 + 2y = 51

=> 2y = 51 - 38

=> y = \( \Large \frac{13}{2} \) = 6.5

Clearly, x > y