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WAEC Mathematics 1996 Question 15

Question 15

Algebraic Expressions

Make p the subject of the formula y = (a + p)/(a − p)

  1. A.(2a − y)/(a + y) = p
  2. B.(ay − 1)/(y + 1) = p
  3. C.a(y − 1)/(y + 1) = p
  4. D.ay/(y + 1) = p
  5. E.(2y − 1)/(y − 1) = p
Show the answer and explanation

Answer: C (a(y − 1)/(y + 1) = p)

Explanation

Cross-multiply: ay − py = a + p. Collect p terms: ay − a = p + py = p(1 + y). So p = a(y − 1)/(y + 1).