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JAMB Mathematics 1993 Question 11

Question 11

Algebraic Expressions

Make x the subject of the relation
(1 + ax)/(1 − ax) = p/q

  1. A.(p + q)/(a(p + q))
  2. B.(p − q)/(a(p + q))
  3. C.(p − q)/(apq)
  4. D.pq/(a(p − q))
Show the answer and explanation

Answer: B ((p − q)/(a(p + q)))

Explanation

Cross-multiply: q + aqx = p − apx. Collect x terms: ax(p + q) = p − q, so x = (p − q)/(a(p + q)).