Multiple choice

In each of the following questions two equations are given. You have to solve both the equation and give answer - $( (I) \ 4x + 3y = 16 )( (II) \ 2x + 2y = 9 )$

  1. If x > y

  2. If x < y

  3. If x ≥ y

  4. If x ≤ y

  5. If x = y or the relationship cannot be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solving the system: 4x + 3y = 16 and 2x + 2y = 9. Multiply second equation by 2: 4x + 4y = 18. Subtract first equation: (4x+4y) - (4x+3y) = 18 - 16, so y = 2. Substitute: 4x + 3(2) = 16, so 4x = 10, x = 2.5. Since x = 2.5 > y = 2, the answer is x > y.

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