What is the answer to (x+1)/(x-8)=10 ?

The answer to (x+1)/(x-8)=10 is x=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+1)/(x-8)=10

\frac{x + 1}{x - 8} = 10

x = 9

Solution steps

\frac{x + 1}{x - 8} = 10

Multiply both sides by

x - 8

x + 1 = 10 (x - 8)

Expand

10 (x - 8) : 10 x - 80

x + 1 = 10 x - 80

Move

1

to the right side

x = 10 x - 81

Move

10 x

to the left side

- 9 x = - 81

Divide both sides by

- 9

x = 9

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = 9

1.2 = \frac{0.091}{120 \cdot x}

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

\frac{4}{∣ p ∣ + 12} = 14

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

\frac{3}{4} = \frac{8}{x}