What is the answer to 1/x = 1/20+1/80 ?

The answer to 1/x = 1/20+1/80 is x=16

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1/x = 1/20+1/80

\frac{1}{x} = \frac{1}{20} + \frac{1}{80}

x = 16

Solution steps

\frac{1}{x} = \frac{1}{20} + \frac{1}{80}

Multiply both sides by

x

1 = \frac{1}{16} x

Switch sides

\frac{1}{16} x = 1

Multiply both sides by

16

x = 16

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 16

\frac{3}{x} + \frac{1}{2} = \frac{4}{x}

1 - \frac{3}{x ^{2}} = 0

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

x + 2 = \frac{6 x - 3}{x}

\frac{4}{x ^{2} - 4} = \frac{1}{x - 2}