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

The answer to 3= 1/(x-4)+4/(x-4) is x= 17/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3= 1/(x-4)+4/(x-4)

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

x = \frac{17}{3}

Decimal Notation

x = 5.66666 \dots

Solution steps

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

Multiply both sides by

x - 4

3 (x - 4) = 5

Divide both sides by

3

x - 4 = \frac{5}{3}

Move

4

to the right side

x = \frac{17}{3}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{17}{3}

- \frac{3}{8 x} + \frac{5}{56 x} = 16

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

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

2 = \frac{28}{z} - 2

\frac{n - 2}{n + 9} = \frac{3}{14}

What is the answer to 3= 1/(x-4)+4/(x-4) ?
The answer to 3= 1/(x-4)+4/(x-4) is x= 17/3
Solve for x: 3= 1/(x-4)+4/(x-4)
The solution is x= 17/3