What is the answer to 1/(x+1)+2/(3x+1)=1 ?

The answer to 1/(x+1)+2/(3x+1)=1 is x=1,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+1)+2/(3x+1)=1

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

x = 1, x = - \frac{2}{3}

Decimal Notation

x = 1, x = - 0.66666 \dots

Solution steps

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

Multiply by LCM

3 x + 1 + 2 (x + 1) = (x + 1) (3 x + 1)

Solve

3 x + 1 + 2 (x + 1) = (x + 1) (3 x + 1) : x = 1, x = - \frac{2}{3}

x = 1, x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = - \frac{1}{3}

Combine undefined points with solutions:

x = 1, x = - \frac{2}{3}

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

(20) = (\frac{63 x}{63 + x})

20 = \frac{100}{100 + x} \cdot 100

\frac{x}{2 x} = \frac{x}{12 - x}

(\frac{3}{x})^{2} + 2 = 1

What is the answer to 1/(x+1)+2/(3x+1)=1 ?
The answer to 1/(x+1)+2/(3x+1)=1 is x=1,x=-2/3
Solve for x: 1/(x+1)+2/(3x+1)=1
The solution is x=1,x=-2/3