What is the answer to (x-1)/(x+3)+(x-2)/(x+1)=1 ?

The answer to (x-1)/(x+3)+(x-2)/(x+1)=1 is x=5,x=-2

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(x-1)/(x+3)+(x-2)/(x+1)=1

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

x = 5, x = - 2

Solution steps

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

Multiply by LCM

(x - 1) (x + 1) + (x - 2) (x + 3) = (x + 3) (x + 1)

Solve

(x - 1) (x + 1) + (x - 2) (x + 3) = (x + 3) (x + 1) : x = 5, x = - 2

x = 5, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 1

Combine undefined points with solutions:

x = 5, x = - 2

\frac{3}{x - 4} = \frac{x - 5}{x}

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

\frac{2 x + 1}{x ^{2} + x + 1} = 0

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

\frac{8 x - 1}{x + 1} - \frac{7}{8 x} = 8

What is the answer to (x-1)/(x+3)+(x-2)/(x+1)=1 ?
The answer to (x-1)/(x+3)+(x-2)/(x+1)=1 is x=5,x=-2
Solve for x: (x-1)/(x+3)+(x-2)/(x+1)=1
The solution is x=5,x=-2