Make \(\frac{a}{x}\) the subject of formula \(\frac{x + a}{x - a}\) = m
A
\(\frac{m - 1}{m + 1}\)
B
\(\frac{m + 1}{1 - m}\)
C
\(\frac{1 - m}{1 + m}\)
D
\(\frac{m + 1}{m - 1}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{x + a}{x - a}\) = m
x + a = mx - ma
a + ma = mx - x
a(m + 1) = x(m - 1)
\(\frac{a}{x}\) = \(\frac{m - 1}{m + 1}\)
Source: Myschool Past Questions Archive (Record #30684)