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OAU Post-UTME Mathematics 2023 Question 13

Question 13

Indices

If 2x+y = 16 and 4x−y = 1/32, find the value of x/y

  1. A.3/4
  2. B.13/4
  3. C.4/13
  4. D.3/13
Show the answer and explanation

Answer: D (3/13)

Explanation

2x+y = 24 gives x + y = 4. 4x−y = 22(x−y) = 2−5 gives x − y = −5/2. Solving: x = 3/4, y = 13/4, so x/y = 3/13.