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JAMB Mathematics 1985 Question 11

Question 11

Algebraic Expressions

Write h in terms of a, b, c, d if a = b(1 − ch)/(1 − dh)

  1. A.h = (a − b)/(ad − bc)
  2. B.h = (a + b)/(ad − bc)
  3. C.h = (ad − bc)/(a − b)
  4. D.h = a(1 − b)/(d − bc)
  5. E.h = (b − a)/(ad − bc)
Show the answer and explanation

Answer: A (h = (a − b)/(ad − bc))

Explanation

a − adh = b − bch, so a − b = adh − bch = h(ad − bc), giving h = (a − b)/(ad − bc).