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JAMB Mathematics 1998 Question 14

Question 14

Algebraic Expressions

make a/x the subject of formula (x + a)/(x − a) = m

  1. A.(m − 1)/(m + 1)
  2. B.(1 + m)/(1 − m)
  3. C.(1 − m)/(1 + m)
  4. D.(m + 1)/(m − 1)
Show the answer and explanation

Answer: A ((m − 1)/(m + 1))

Explanation

x + a = mx − ma, so a(1 + m) = x(m − 1) and a/x = (m − 1)/(m + 1).