Multiple choice

In each of the following questions, two equations (I) and (II) are given. You have to solve them and give answer. $(I) (3x - 2y = 10) (II) (5x - 6y = 6)$

  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

From equation I: 3x - 2y = 10. From equation II: 5x - 6y = 6. Multiply equation I by 3: 9x - 6y = 30. Subtract equation II: (9x - 6y) - (5x - 6y) = 30 - 6, giving 4x = 24, so x = 6. Substitute back: 3(6) - 2y = 10, so 18 - 2y = 10, giving y = 4. Since x=6 and y=4, we have x > y.

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