NABTEB Mathematics 2025 Objective — Question 23

Question 23 of 60 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

Solve simultaneously: 5^(x+2y)=1; 3^(2x+y)=27.

A. x=-1/2,y=-1
B. x=1,y=-1/2
C. x=2,y=-1Correct

Explanation

5^(x+2y)=5^0 gives x+2y=0. 3^(2x+y)=3^3 gives 2x+y=3. Solving: x=-2y, so -4y+y=3, y=-1, x=2.

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