Multiple choice

In each of the following questions, two equations are given. You have to solve them and $( (I) \quad 4x + 2y = 8.5 ) ( (II) \quad 2x + 4y = 9.5 )$

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

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

Multiply equation (II) by 2: 4x + 8y = 19. Subtract from equation (I) multiplied by 2 (8x + 4y = 17): (8x + 4y) - (4x + 8y) = 17 - 19, giving 4x - 4y = -2, so x - y = -0.5, meaning x = y - 0.5. Therefore x < y always. Alternatively, solve directly: from (I), 2x = 4.25 - y, substitute into (II) to get y = 3.167, x = 1.417, confirming x < y.

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