What is the answer to 3/c+9= 9/c+5 ?

The answer to 3/c+9= 9/c+5 is c= 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/c+9= 9/c+5

\frac{3}{c} + 9 = \frac{9}{c} + 5

c = \frac{3}{2}

Decimal Notation

c = 1.5

Solution steps

\frac{3}{c} + 9 = \frac{9}{c} + 5

Move

9

to the right side

\frac{3}{c} = \frac{9}{c} - 4

Multiply both sides by

c

3 = 9 - 4 c

Switch sides

9 - 4 c = 3

Move

9

to the right side

- 4 c = - 6

Divide both sides by

- 4

c = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

c = 0

Combine undefined points with solutions:

c = \frac{3}{2}

\frac{5}{x} - \frac{3}{2} = \frac{3}{x}

\frac{1}{x - 2} - \frac{1}{x - 1} = \frac{1}{6}

\frac{5}{( x - 1 )} = 10

\frac{x + 1}{3 x - 2} = \frac{5 x - 4}{3 x + 2}

x + \frac{12}{x} = 8