Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answer. $I. (5x + 9y - 95 = 0) II. (2x + 3y - 35 = 0)$

  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
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A Correct answer
Explanation

Solving the system: From the second equation, 3y = 35 - 2x, so y = (35 - 2x)/3. Substituting into first: 5x + 9((35 - 2x)/3) = 95, which gives 5x + 3(35 - 2x) = 95, so 5x + 105 - 6x = 95, giving -x = -10, so x = 10. Then y = (35 - 20)/3 = 5. Since x = 10 and y = 5, we have x > y.

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