Question

Find all values of z such that: 2/z+5=5/z-4

Answer 1

1/3

Answer 2

\[\frac{2}{z}+5=\frac{5}{z}-4\]
\[\frac{2}{z}-\frac{5}{z}=-4-5\]
\[\frac{2-5}{z}=-9\]
\[\frac{-3}{z}=-9\]
\[-3=-9z\]
\[z=\frac{-3}{-9}\]
\[z=\frac{1}{3}\]