What is the answer to 1/5 = x/(x+100) ?

The answer to 1/5 = x/(x+100) is x=25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/5 = x/(x+100)

\frac{1}{5} = \frac{x}{x + 100}

x = 25

Solution steps

\frac{1}{5} = \frac{x}{x + 100}

Cross multiply

x + 100 = 5 x

Move

100

to the right side

x = 5 x - 100

Move

5 x

to the left side

- 4 x = - 100

Divide both sides by

- 4

x = 25

Verify Solutions

Find undefined (singularity) points:

x = - 100

Combine undefined points with solutions:

x = 25

\frac{- 2}{3 ( 2 x - 4 )} = 3 - 2 (x - 8)

2 (\frac{x ^{2} + 1}{x ^{2}}) - 3 (\frac{x + 1}{x}) - 4 = 0

∣ - 3 x + 2 ∣ = \frac{1}{2 x + 5}

x, \frac{1}{x} + \frac{1}{y} = \frac{1}{3}

\frac{x}{4 ( x - \frac{6}{2} )} = x \frac{( x - 3 )}{14}