If a 1 b 3 solve for x in the equation frac a a... - JAMB Mathematics 1994 Question
If a = 1, b = 3, solve for x in the equation \(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)
A
\(\frac{4}{3}\)
B
\(\frac{2}{3}\)
C
\(\frac{3}{2}\)
D
\(\frac{3}{4}\)
correct option: c
\(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)
\(\frac{1}{1 - x}\) = \(\frac{3}{x - 3}\)
∴ 3(1 - x) = x - 3
3 - 3x = x - 3
Rearrange 6 = 4x; x = \(\frac {6}{4}\)
= \(\frac{3}{2}\)
\(\frac{1}{1 - x}\) = \(\frac{3}{x - 3}\)
∴ 3(1 - x) = x - 3
3 - 3x = x - 3
Rearrange 6 = 4x; x = \(\frac {6}{4}\)
= \(\frac{3}{2}\)
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