What is the answer to 4/5 = 6/x-1 ?

The answer to 4/5 = 6/x-1 is x= 10/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/5 = 6/x-1

\frac{4}{5} = \frac{6}{x} - 1

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

\frac{4}{5} = \frac{6}{x} - 1

Multiply by LCM

4 x = 30 - 5 x

Move

5 x

to the left side

9 x = 30

Divide both sides by

9

x = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{3}

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

\frac{x}{x + 5} = 10

\frac{40}{x} = \frac{5}{7}

\frac{x}{x + 4} = \frac{8}{7}

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