What is the answer to 1/x+1/(3x)=4 ?

The answer to 1/x+1/(3x)=4 is x= 1/3

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1/x+1/(3x)=4

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Multiply by LCM

4 = 12 x

Switch sides

12 x = 4

Divide both sides by

12

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}

\frac{7 x}{8 - 3 x} = 15

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

\frac{x}{x + 1} = \frac{5}{x + 5}

\frac{3}{5} = \frac{15}{x}

\frac{18}{x} = 6