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

The answer to 3/x+4/(3x)=1 is x= 13/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{13}{3}

Decimal Notation

x = 4.33333 \dots

Solution steps

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

Multiply by LCM

13 = 3 x

Switch sides

3 x = 13

Divide both sides by

3

x = \frac{13}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{13}{3}

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

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

\frac{56}{42} = \frac{4}{x}

x, y = \frac{y}{1 + x ^{2}}

\frac{9}{12} = \frac{12}{x}