What is the answer to x^{-1}=-1/3 ?

The answer to x^{-1}=-1/3 is x=-3

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x^{-1}=-1/3

x^{- 1} = - \frac{1}{3}

x = - 3

Solution steps

x^{- 1} = - \frac{1}{3}

Refine

\frac{1}{x} = - \frac{1}{3}

Cross multiply

3 = - x

Move

x

to the left side

3 + x = 0

Move

3

to the right side

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3

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\frac{4}{x} = \frac{14}{5 x} + 12