What is the answer to (10)/x+3=(x+9)/(x-4) ?

The answer to (10)/x+3=(x+9)/(x-4) is x=8,x=-5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{10}{x} + 3 = \frac{x + 9}{x - 4}

x = 8, x = - \frac{5}{2}

Decimal Notation

x = 8, x = - 2.5

Solution steps

\frac{10}{x} + 3 = \frac{x + 9}{x - 4}

Multiply by LCM

10 (x - 4) + 3 x (x - 4) = x (x + 9)

Solve

10 (x - 4) + 3 x (x - 4) = x (x + 9) : x = 8, x = - \frac{5}{2}

x = 8, x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 4

Combine undefined points with solutions:

x = 8, x = - \frac{5}{2}

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

\frac{4 x}{x + 2} = 8 - \frac{8}{x + 2}

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

100 - \frac{10}{x ^{3}} = 0

\frac{3}{x} = 2

What is the answer to (10)/x+3=(x+9)/(x-4) ?
The answer to (10)/x+3=(x+9)/(x-4) is x=8,x=-5/2
Solve for x: (10)/x+3=(x+9)/(x-4)
The solution is x=8,x=-5/2