Make \(\frac{a}{x}\) the subject of formula \(\frac{x + a}{x – a}\) = m
The correct answer is: A
Explanation
\(\frac{x + a}{x - a}\) = m
x + a = mx - ma
a + ma = mx - x
a(m + 1) = x(m - 1)
\(\frac{a}{x}\) = \(\frac{m - 1}{m + 1}\)
Make \(\frac{a}{x}\) the subject of formula \(\frac{x + a}{x – a}\) = m
\(\frac{x + a}{x - a}\) = m
x + a = mx - ma
a + ma = mx - x
a(m + 1) = x(m - 1)
\(\frac{a}{x}\) = \(\frac{m - 1}{m + 1}\)