Multiple choice

In each of the following questions, two equations are given. You have to solve them and give the answer. $I. (2x = 5 + 15y) II. (6x - 5y + 1 = 0)$

  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

From equation I: 2x = 5 + 15y, rearranging gives x = (5 + 15y)/2. Substitute into equation II: 6((5 + 15y)/2) - 5y + 1 = 0, which simplifies to 15 + 45y - 5y + 1 = 0, so 40y = -16, giving y = -0.4. Substituting back: x = (5 + 15(-0.4))/2 = (5 - 6)/2 = -0.5. Since x = -0.5 and y = -0.4, we have x < y.