What is the answer to 5/x =(10)/(9x)+1 ?

The answer to 5/x =(10)/(9x)+1 is x= 35/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/x =(10)/(9x)+1

\frac{5}{x} = \frac{10}{9 x} + 1

x = \frac{35}{9}

Decimal Notation

x = 3.88888 \dots

Solution steps

\frac{5}{x} = \frac{10}{9 x} + 1

Multiply by LCM

45 = 10 + 9 x

Switch sides

10 + 9 x = 45

Move

10

to the right side

9 x = 35

Divide both sides by

9

x = \frac{35}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{35}{9}

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

\frac{5 x + 1}{x + 1} = 4.83

a, y = x \frac{ab}{a - b}

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

\frac{4}{x - 30} + \frac{16}{x} = 48

What is the answer to 5/x =(10)/(9x)+1 ?
The answer to 5/x =(10)/(9x)+1 is x= 35/9
Solve for x: 5/x =(10)/(9x)+1
The solution is x= 35/9