What is the answer to 4/(x-3)= 9/(x+2) ?

The answer to 4/(x-3)= 9/(x+2) is x=7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/(x-3)= 9/(x+2)

\frac{4}{x - 3} = \frac{9}{x + 2}

x = 7

Solution steps

\frac{4}{x - 3} = \frac{9}{x + 2}

Cross multiply

4 x + 8 = 9 x - 27

Move

8

to the right side

4 x = 9 x - 35

Move

9 x

to the left side

- 5 x = - 35

Divide both sides by

- 5

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 2

Combine undefined points with solutions:

x = 7

\frac{5}{k} = \frac{15}{20}

\frac{2 n}{4 n} = \frac{1}{2 n}

(5 k - 1)^{- 2} = k + 5

1 = \frac{10 x ^{2}}{x ^{4} + 25}

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