Multiple choice

In each of the following questions two equations I and II are given. You have to solve both the equations and then answer. $I. (3x + 5y = 28) II. (8x - 3y = 42)$

  1. If x < y

  2. If x ≤ y

  3. If x > y

  4. If x ≥ y

  5. If x = y or relationship cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Solving the system: 3x + 5y = 28 and 8x - 3y = 42. Using elimination: Multiply first equation by 3: 9x + 15y = 84. Multiply second by 5: 40x - 15y = 210. Add: 49x = 294, so x = 6. Substitute: 3(6) + 5y = 28, so 18 + 5y = 28, giving 5y = 10 and y = 2. Since x = 6 and y = 2, we have x > y, so option C is correct.

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