NABTEB Mathematics 2024 Objective — Question 12

Question 12 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

If 3x−2y=−5 and x+2y=9, find the value of (x−y)/(x+y).

A. A. 5/3
B. B. 3/5
C. C. -3/5Correct
D. D. -5/3

Explanation

3x−2y=−5...(i). x+2y=9...(ii). Adding: 4x=4, x=1. Put x=1 into (ii): 1+2y=9, 2y=8, y=4. Then (x−y)/(x+y)=(1−4)/(1+4)=−3/5.

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