What is the answer to (x+1)/(x-1)-(x+4)/(x-2)=1 ?

The answer to (x+1)/(x-1)-(x+4)/(x-2)=1 is x=0,x=-1

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(x+1)/(x-1)-(x+4)/(x-2)=1

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

x = 0, x = - 1

Solution steps

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

Multiply by LCM

(x + 1) (x - 2) - (x + 4) (x - 1) = (x - 1) (x - 2)

Solve

(x + 1) (x - 2) - (x + 4) (x - 1) = (x - 1) (x - 2) : x = 0, x = - 1

x = 0, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 2

Combine undefined points with solutions:

x = 0, x = - 1

x^{2} - 5 x - 2 - \frac{24}{x ^{2} - 5 x} = 0

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

\frac{2}{y + 4} - \frac{1}{y - 3} = 0

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

\frac{1}{x - 3} = 1 - \frac{2 x - 7}{x - 3}

What is the answer to (x+1)/(x-1)-(x+4)/(x-2)=1 ?
The answer to (x+1)/(x-1)-(x+4)/(x-2)=1 is x=0,x=-1
Solve for x: (x+1)/(x-1)-(x+4)/(x-2)=1
The solution is x=0,x=-1