JAMB Mathematics 2019 Objective — Question 15

Question 15 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Solve for x if x−y=2 and x²−y²=8

A. (-3, 1)
B. (1, 3)
C. (-1, 3)
D. (3, 1)Correct

Explanation

From x−y=2, x=2+y. Substituting: (2+y)²−y²=8 ⇒ 4+4y=8 ⇒ y=1. Then x=2+1=3. So (x,y)=(3,1).

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