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

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

Correct Answer: Option D

Explanation

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