What is the answer to 1/x =-1/3 ?

The answer to 1/x =-1/3 is x=-3

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1/x =-1/3

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

x = - 3

Solution steps

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

Cross multiply

3 = - x

Move

x

to the left side

3 + x = 0

Move

3

to the right side

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3

\frac{( 2 x + 200 )}{x} = 0

\frac{2}{x - 8} = \frac{1}{x - 5}

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

(\frac{x ^{5}}{x ^{3}})^{2} = x

\frac{2}{9} = \frac{10}{x}