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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 1

Solution steps

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

Multiply by LCM

x^{2} - 3 = x^{2} - 3 x

Move

3

to the right side

x^{2} = x^{2} - 3 x + 3

Subtract

x^{2} - 3 x

from both sides

x^{2} - (x^{2} - 3 x) = x^{2} - 3 x + 3 - (x^{2} - 3 x)

Simplify

3 x = 3

Divide both sides by

3

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = 1

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

\frac{6}{x} = 2

x - 3 = \frac{3 x ^{2} + 5}{3 x + 1}

D, m = \frac{a}{D - 5 H}

\frac{5}{8} = \frac{3}{x}

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