Multiple choice

In each of the following questions, two equations are given. You have to solve them and answer the question. $( (I) 5x + 7y = 10 \ (II) 6x – 2y =12 )$

  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.

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solve 5x+7y=10 and 6x-2y=12. From second: 3x-y=6, y=3x-6. Substitute: 5x+7(3x-6)=10, 5x+21x-42=10, 26x=52, x=2. Then y=3(2)-6=0. Since x=2 > y=0, the relationship is x > y.