What is the answer to 6/(x-1)= 9/7 ?

The answer to 6/(x-1)= 9/7 is x= 17/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6/(x-1)= 9/7

\frac{6}{x - 1} = \frac{9}{7}

x = \frac{17}{3}

Decimal Notation

x = 5.66666 \dots

Solution steps

\frac{6}{x - 1} = \frac{9}{7}

Cross multiply

42 = (x - 1) \cdot 9

Switch sides

(x - 1) \cdot 9 = 42

Divide both sides by

9

x - 1 = \frac{14}{3}

Move

1

to the right side

x = \frac{17}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{17}{3}

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

\frac{15}{2 g - 7} = \frac{3}{5}

\frac{5}{x} = - \frac{3}{x + 4}

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

y, y^{- 1} = x (3 e^{x} + c)