Multiple choice

In the given question two equations I & II are given, you have to solve them and answer the question. $( (I) 7x + 13y = 9 )( (II) 3x – 4y = 23 )$

  1. if x > y

  2. if x < y

  3. if x = y or relation can’t be establish

  4. if x ≥ y

  5. if x ≤ y
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A Correct answer
Explanation

This is a system of two linear equations in two variables. From equation (II): 3x - 4y = 23, we get x = (23 + 4y)/3. Substituting in equation (I): 7(23 + 4y)/3 + 13y = 9. Solving: 161 + 28y + 39y = 27, so 67y = -134, giving y = -2. Substituting back: x = (23 + 4(-2))/3 = (23 - 8)/3 = 15/3 = 5. Since x = 5 and y = -2, we have x > y.

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