What is the answer to x^{-1}=-1/5 ?

The answer to x^{-1}=-1/5 is x=-5

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x^{-1}=-1/5

x^{- 1} = - \frac{1}{5}

x = - 5

Solution steps

x^{- 1} = - \frac{1}{5}

Refine

\frac{1}{x} = - \frac{1}{5}

Cross multiply

5 = - x

Move

x

to the left side

5 + x = 0

Move

5

to the right side

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 5

\frac{1}{\frac{1}{z}} = z

- \frac{9}{4 x} = \frac{3}{4 x - 16}

\frac{m - 5}{m - 2} = - 2

\frac{1700}{x} = \frac{200}{10}

\frac{10}{2 x - 1} = \frac{12}{x + 4}