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Make frac a x the subject of formula frac x 1 x... - JAMB Mathematics 1998 Question

Make \(\frac{a}{x}\) the subject of formula \(\frac{x + 1}{x - a}\)
A
\(\frac{m - 1}{m + 1}\)
B
\(\frac{m + 1}{1 - m}\)
C
\(\frac{m - 1}{1 + m}\)
D
\(\frac{m + 1}{m - 1}\)
correct option: a

(\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 + a})

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