JAMB Mathematics 2020 Objective — Question 11

Question 11 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2020 Objective paper, with the correct answer and a full explanation.

2^(x+y) = 32, 3^(3y-x) = 27. Then,

A. x=3, y=2Correct
B. x=2, y=3
C. x=-3, y=2
D. x=3, y=-2

Explanation

2^(x+y)=2^5, so x+y=5 (i). 3^(3y-x)=3^3, so 3y-x=3 (ii). Adding (i) and (ii) after aligning terms gives y=2, x=3.

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