What is the answer to 2x^{-1}=4 ?

The answer to 2x^{-1}=4 is x= 1/2

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2x^{-1}=4

2 x^{- 1} = 4

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

2 x^{- 1} = 4

Refine

\frac{2}{x} = 4

Multiply both sides by

x

2 = 4 x

Switch sides

4 x = 2

Divide both sides by

4

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

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

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

\frac{x - 2}{3 - x} = - \frac{5}{4}

\frac{2}{x - 1} - \frac{1}{2 x + 1} = 0

\frac{3 + x}{11 + x} = 0.5