What is the answer to 1/x =3.5 ?

The answer to 1/x =3.5 is x= 2/7

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1/x =3.5

\frac{1}{x} = 3.5

x = \frac{2}{7}

Decimal Notation

x = 0.28571 \dots

Solution steps

\frac{1}{x} = 3.5

Multiply both sides by

x

1 = 3.5 x

Switch sides

3.5 x = 1

Multiply both sides by

10

35 x = 10

Divide both sides by

35

x = \frac{2}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{7}

\frac{5}{13} = \frac{65}{x}

6 = \frac{1}{1 - \frac{1}{8} x}

- 2 - \frac{6}{x} = \frac{- 7}{2}

\frac{2 p}{p - 1} = 3 + \frac{2}{p - 1}

\frac{x ^{2}}{( 2 - x ) ^{2}} = 0.0175