What is the answer to (x-1)/(x+2)= 11/19 ?

The answer to (x-1)/(x+2)= 11/19 is x= 41/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-1)/(x+2)= 11/19

\frac{x - 1}{x + 2} = \frac{11}{19}

x = \frac{41}{8}

Decimal Notation

x = 5.125

Solution steps

\frac{x - 1}{x + 2} = \frac{11}{19}

Cross multiply

19 x - 19 = 11 x + 22

Move

19

to the right side

19 x = 11 x + 41

Move

11 x

to the left side

8 x = 41

Divide both sides by

8

x = \frac{41}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{41}{8}

\frac{x}{25} = \frac{4}{x}

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

x, \frac{x + y + z}{x} - y = z

\frac{x + 6}{x - 3} = \frac{4}{7}

\frac{2}{x - 1} - \frac{3}{x} = 2

What is the answer to (x-1)/(x+2)= 11/19 ?
The answer to (x-1)/(x+2)= 11/19 is x= 41/8
Solve for x: (x-1)/(x+2)= 11/19
The solution is x= 41/8