If a = 1, b = 3, solve for x in the equation \(\frac{a}{a – x}\) = \(\frac{b}{x – b}\)
- \(\frac{4}{3}\)
- \(\frac{2}{3}\)
-
\(\frac{3}{2}\)
- \(\frac{3}{4}\)
The correct answer is: C
Explanation
\(\frac{a}{a - x}\) = \(\frac{b}{x - b}\)\(\frac{1}{1 - x}\) = \(\frac{3}{x - 3}\)
∴ 3(1 - x) = x - 3
3 - 3x = x - 3
Rearrange 6 = 4x; x = \(\frac {6}{4}\)
= \(\frac{3}{2}\)