What is the answer to (5x+1}{x+2}+\frac{x-1)/x =2 ?

The answer to (5x+1}{x+2}+\frac{x-1)/x =2 is x=1,x=-1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(5x+1}{x+2}+\frac{x-1)/x =2

\frac{5 x + 1}{x + 2} + \frac{x - 1}{x} = 2

x = 1, x = - \frac{1}{2}

Decimal Notation

x = 1, x = - 0.5

Solution steps

\frac{5 x + 1}{x + 2} + \frac{x - 1}{x} = 2

Multiply by LCM

x (5 x + 1) + (x - 1) (x + 2) = 2 x (x + 2)

Solve

x (5 x + 1) + (x - 1) (x + 2) = 2 x (x + 2) : x = 1, x = - \frac{1}{2}

x = 1, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{1}{2}

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

- 6 - \frac{2}{x} = - 8 x

\frac{3 x + 1}{6 x - 2} = \frac{2 x + 5}{4 x - 13}

- \frac{3}{x ^{2} + 3 x} + 6 = \frac{1}{x + 3}

x - \frac{2 x + 3}{x + 5} = \frac{7}{x + 5}

What is the answer to (5x+1}{x+2}+\frac{x-1)/x =2 ?
The answer to (5x+1}{x+2}+\frac{x-1)/x =2 is x=1,x=-1/2
Solve for x: (5x+1}{x+2}+\frac{x-1)/x =2
The solution is x=1,x=-1/2