Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question. $( (I) \quad 8x – 3y = 85 )$ $( (II) \quad 4x – 5y = 67 )$

  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
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A Correct answer
Explanation

Solve the system: 8x-3y=85 and 4x-5y=67. Multiply second equation by 2: 8x-10y=134. Subtract from first: (8x-3y)-(8x-10y)=85-134, giving 7y=-49, so y=-7. Substitute: 8x-3(-7)=85 gives 8x+21=85, so 8x=64 and x=8. Since 8 > -7, x > y is correct.

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