JAMB - Mathematics (1985 - No. 9)
Write h in terms of a, b, c, d if a = \(\frac{b(1 - ch)}{1 - dh}\)
h = \(\frac{a - b}{ad}\)
h = \(\frac{1 - b}{ad - bc}\)
h = \(\frac{(a - b)^2}{ad - bc}\)
h = \(\frac{a - b}{ad - bc}\)
h = \(\frac{b - a}{ab - dc}\)
Forklaring
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 = \(\frac{a - b}{ad - bc}\)
a = \(\frac{b - bch}{1 - dh}\)
a - adh = b - bch
a - b = -bch + adh
a - b = adh - bch
a - b = h(ad - bc)
h = \(\frac{a - b}{ad - bc}\)