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

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

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x^{-1}=5

x^{- 1} = 5

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

x^{- 1} = 5

Refine

\frac{1}{x} = 5

Multiply both sides by

x

1 = 5 x

Switch sides

5 x = 1

Divide both sides by

5

x = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{5}

\frac{7}{9} = \frac{b}{b - 10}

f, T = \frac{1}{f}

y, x = \frac{3 y + 5}{7 y - 1}

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

x, a = \frac{c d}{x}