What is the answer to (x-2)/(x-1)= 5/4 ?

The answer to (x-2)/(x-1)= 5/4 is x=-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-2)/(x-1)= 5/4

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

x = - 3

Solution steps

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

Cross multiply

4 x - 8 = 5 x - 5

Move

8

to the right side

4 x = 5 x + 3

Move

5 x

to the left side

- x = 3

Divide both sides by

- 1

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - 3

\frac{30}{12} = \frac{15}{x}

x, M = \frac{5}{x} - y^{2}

\frac{- 10}{x} = \frac{- 16}{x - 3}

\frac{240}{x} = \frac{160}{x - 20}

\frac{x}{( x + 4 )} = 0