Multiple choice

In the following questions two equations (I) and (II) are given. You have to solve both the equation and give answer- $( (I) \quad 7x + 6y = 110 \ (II) \quad 4x + 3y = 59 )$

  1. If x > y

  2. If x < y

  3. If x ≥ y

  4. If x ≤ y

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

From (II): 3y = 59 - 4x, so y = (59-4x)/3. Substitute into (I): 7x + 6(59-4x)/3 = 110 gives 7x + 2(59-4x) = 110, so 7x + 118 - 8x = 110, giving x = 8. Then y = (59-32)/3 = 9. Since 8 < 9, x < y.

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