What is the answer to 1/x+1/(3x)=5 ?

The answer to 1/x+1/(3x)=5 is x= 4/15

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1/x+1/(3x)=5

\frac{1}{x} + \frac{1}{3 x} = 5

x = \frac{4}{15}

Decimal Notation

x = 0.26666 \dots

Solution steps

\frac{1}{x} + \frac{1}{3 x} = 5

Multiply by LCM

4 = 15 x

Switch sides

15 x = 4

Divide both sides by

15

x = \frac{4}{15}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{15}

\frac{0.2}{x} = \frac{0.2 + 1}{7}

\frac{x - 1}{x - 6} = \frac{- 2}{x}

x, y = \frac{2 x - 5}{x - 3}

\frac{1}{x + 7} = \frac{4}{x + 7} - 2

t, a = \frac{V - V _{0}}{t}