What is the answer to 1/x = 1/3+1/6 ?

The answer to 1/x = 1/3+1/6 is x=2

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1/x = 1/3+1/6

\frac{1}{x} = \frac{1}{3} + \frac{1}{6}

x = 2

Solution steps

\frac{1}{x} = \frac{1}{3} + \frac{1}{6}

Multiply both sides by

x

1 = \frac{1}{2} x

Switch sides

\frac{1}{2} x = 1

Multiply both sides by

2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

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

\frac{x ^{2} - 9 x + 20}{x ^{2} - 3 x + 4} = 0

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

\frac{7}{x + 5} = \frac{6}{5}

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