What is the answer to 1/3 =1+(2r+8)/r ?

The answer to 1/3 =1+(2r+8)/r is r=-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/3 =1+(2r+8)/r

\frac{1}{3} = 1 + \frac{2 r + 8}{r}

r = - 3

Solution steps

\frac{1}{3} = 1 + \frac{2 r + 8}{r}

Multiply by LCM

r = 3 r + 3 (2 r + 8)

Expand

3 (2 r + 8) : 6 r + 24

r = 3 r + 6 r + 24

Add similar elements:

3 r + 6 r = 9 r

r = 9 r + 24

Move

9 r

to the left side

- 8 r = 24

Divide both sides by

- 8

r = - 3

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = - 3

9 = - \frac{6}{v}

\frac{2 x}{21} = \frac{40}{11 x + 4}

\frac{2.2046}{10} = \frac{1}{x}

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

x + 3 = \frac{4 x + 8}{x + 3}