What is the answer to 1/(x-1)-3/(x+3)=0 ?

The answer to 1/(x-1)-3/(x+3)=0 is x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(x-1)-3/(x+3)=0

\frac{1}{x - 1} - \frac{3}{x + 3} = 0

x = 3

Solution steps

\frac{1}{x - 1} - \frac{3}{x + 3} = 0

Multiply by LCM

x + 3 - 3 (x - 1) = 0

Move

3

to the right side

x - 3 (x - 1) = - 3

Expand

- 3 (x - 1) : - 3 x + 3

x - 3 x + 3 = - 3

Add similar elements:

x - 3 x = - 2 x

- 2 x + 3 = - 3

Move

3

to the right side

- 2 x = - 6

Divide both sides by

- 2

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 3

Combine undefined points with solutions:

x = 3

\frac{10}{6} = \frac{5}{x}

36 - \frac{1}{x ^{2}} = 0

y^{2} + \frac{8}{y} - 9 = 0

\frac{2}{x} = 11

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

What is the answer to 1/(x-1)-3/(x+3)=0 ?
The answer to 1/(x-1)-3/(x+3)=0 is x=3
Solve for x: 1/(x-1)-3/(x+3)=0
The solution is x=3