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

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

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x^{-1}=-3

x^{- 1} = - 3

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

x^{- 1} = - 3

Refine

\frac{1}{x} = - 3

Multiply both sides by

x

1 = - 3 x

Switch sides

- 3 x = 1

Divide both sides by

- 3

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{3}

\frac{3}{x - 2} + 3 = \frac{4 x}{x - 2}

y^{- 3} = 64

0 = \frac{x + 2}{x - 6}

- \frac{2 x + 2}{x + 3} = 6

[\frac{x + 4}{2 x - 1}] = 2