Multiple choice

In each of the following questions, two equations (I) and (II) are given. You have to solve them and answer the question. I. (7x + 3y = 30) II. (6x – 2y = 12)

  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
E Correct answer
Explanation

Solving the system: From equation I, 3y = 30 - 7x, so y = 10 - (7/3)x. From equation II, 6x - 2(10 - 7x/3) = 12 gives 6x - 20 + 14x/3 = 12, so (18x + 14x)/3 = 32, 32x/3 = 32, giving x = 3. Substituting: 7(3) + 3y = 30 gives 21 + 3y = 30, so y = 3. Since x = y, we have x = y, which satisfies option E (x = y or relationship cannot be established).

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