What is the answer to (r-4)/(3r)= 1/(5r)+1 ?

The answer to (r-4)/(3r)= 1/(5r)+1 is r=-23/10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(r-4)/(3r)= 1/(5r)+1

\frac{r - 4}{3 r} = \frac{1}{5 r} + 1

r = - \frac{23}{10}

Decimal Notation

r = - 2.3

Solution steps

\frac{r - 4}{3 r} = \frac{1}{5 r} + 1

Multiply by LCM

5 r - 20 = 3 + 15 r

Move

20

to the right side

5 r = 15 r + 23

Move

15 r

to the left side

- 10 r = 23

Divide both sides by

- 10

r = - \frac{23}{10}

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = - \frac{23}{10}

\frac{7}{x} = \frac{2}{3}

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

\frac{3}{( 1 - n )} = 5

\frac{4 x}{x + 6} - 1 = \frac{9}{x + 6}

\frac{x ^{2} - 4}{x ^{2}} = 0

What is the answer to (r-4)/(3r)= 1/(5r)+1 ?
The answer to (r-4)/(3r)= 1/(5r)+1 is r=-23/10
Solve for r: (r-4)/(3r)= 1/(5r)+1
The solution is r=-23/10