In the following question two equations numbered I and II are given. You have to solve both the equations and Give answer

I. 5x + 2y = 31

II. 3x + 7y = 36


A) x > y

B) x \( \Large \geq \) y

C) x < y

D) x \( \Large \leq \) y

Correct answer:
A) x > y

Description for Correct answer:
By equation I \( \Large \times \) 3 - equation II \( \Large \times \) 5, we have,

15x + 6y - 15x - 35y = 93 - 180

=> - 29y = - 87 => y = \( \Large \frac{87}{29} \) = 3

From equation I,

5x + 2 \( \Large \times \) 3 = 31

=> 5x = 31 - 6 = 25 => x = 5

Clearly, x > y


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