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

Assessment: JAMB UTME - Mathematics - 1985 Subject: General Mathematics

Question 1 Report

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

h = $\frac{a - b}{a d}$

h = $\frac{1 - b}{a d - b c}$

h = $\frac{(a - b)^{2}}{a d - b c}$

h =

\frac{a - b}{a d - b c}

h = $\frac{b - a}{a b - d c}$

Answer Details

a = $\frac{b (1 - c h)}{a - d h}$
a = $\frac{b - b c h}{1 - d h}$
= a - adh
= b - bch
a - b = bch + adn
a - b = adh
a - b = h(ad - bc)
h = $\frac{a - b}{a d - b c}$

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