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Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{1 -...

Mathematics
JAMB 1985

Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{1 - dh}\)

  • A. h = \(\frac{a - b}{ad}\)
  • B. h = \(\frac{1 - b}{ad - bc}\)
  • C. h = \(\frac{(a - b)^2}{ad - bc}\)
  • D. h = \(\frac{a - b}{ad - bc}\)
  • E. h = \(\frac{b - a}{ab - dc}\)
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Correct Answer: Option D
Explanation

a = \(\frac{b(1 - ch)}{1 - dh}\)

a = \(\frac{b - bch}{1 - dh}\)

  a - adh = b - bch

a - b = -bch + adh

a - b = adh - bch

a - b = h(ad - bc)

h = \(\frac{a - b}{ad - bc}\)


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