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JAMB Mathematics 2012 Question 11

Question 11

Algebraic Expressions

Make n the subject of the formula if w = v(2 + cn)/(1 − cn)

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

Answer: A ((1/c)((w − 2v)/(v + w)))

Explanation

w − cnw = 2v + cnv, so w − 2v = cn(v + w) and n = (w − 2v)/(c(v + w)).