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 = \(\frac{b - a}{ab - dc}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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 = \(\frac{a - b}{ad - bc}\)
Source: Myschool Past Questions Archive (Record #32216)