What is the answer to (3x-9)/(x-1)+(x+6)/(x+1)=3 ?

The answer to (3x-9)/(x-1)+(x+6)/(x+1)=3 is x=4,x=-3

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(3x-9)/(x-1)+(x+6)/(x+1)=3

\frac{3 x - 9}{x - 1} + \frac{x + 6}{x + 1} = 3

x = 4, x = - 3

Solution steps

\frac{3 x - 9}{x - 1} + \frac{x + 6}{x + 1} = 3

Multiply by LCM

(3 x - 9) (x + 1) + (x + 6) (x - 1) = 3 (x - 1) (x + 1)

Solve

(3 x - 9) (x + 1) + (x + 6) (x - 1) = 3 (x - 1) (x + 1) : x = 4, x = - 3

x = 4, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 4, x = - 3

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

\frac{36}{x} - 5 = \frac{17}{2 x}

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

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

\frac{2}{x + 5} = \frac{4}{x}

What is the answer to (3x-9)/(x-1)+(x+6)/(x+1)=3 ?
The answer to (3x-9)/(x-1)+(x+6)/(x+1)=3 is x=4,x=-3
Solve for x: (3x-9)/(x-1)+(x+6)/(x+1)=3
The solution is x=4,x=-3