What is the answer to x^{-1}=2 ?

The answer to x^{-1}=2 is x= 1/2

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x^{-1}=2

x^{- 1} = 2

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

x^{- 1} = 2

Refine

\frac{1}{x} = 2

Multiply both sides by

x

1 = 2 x

Switch sides

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{x}{x + 6} = \frac{2}{5}

\frac{2 x + 1}{x - 5} = 3

\frac{x}{5 x + 4} = 3

\frac{10 + x}{( 1 - x ) ^{2}} = 5

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