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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/x+3= 3/x

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

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

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

Multiply both sides by

x

1 + 3 x = 3

Move

1

to the right side

3 x = 2

Divide both sides by

3

x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{3}

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

\frac{3 x}{4} = \frac{12}{x}

x^{- 2} = \frac{1}{25}

4 = \frac{1}{x}

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