What is the answer to (-2)/(x-1)=(x-8)/(x+1) ?

The answer to (-2)/(x-1)=(x-8)/(x+1) is x=5,x=2

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(-2)/(x-1)=(x-8)/(x+1)

\frac{- 2}{x - 1} = \frac{x - 8}{x + 1}

x = 5, x = 2

Solution steps

\frac{- 2}{x - 1} = \frac{x - 8}{x + 1}

Cross multiply

- 2 (x + 1) = (x - 1) (x - 8)

Solve

- 2 (x + 1) = (x - 1) (x - 8) : x = 5, x = 2

x = 5, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 5, x = 2

\frac{1}{y - 1} + 1 = \frac{2}{y - 1}

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

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

\frac{8 x + 1}{x} = 0

\frac{3 x}{x + 5} = 0

What is the answer to (-2)/(x-1)=(x-8)/(x+1) ?
The answer to (-2)/(x-1)=(x-8)/(x+1) is x=5,x=2
Solve for x: (-2)/(x-1)=(x-8)/(x+1)
The solution is x=5,x=2