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

The answer to x/(x-1)= 8/(x+2) is x=4,x=2

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

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

x = 4, x = 2

Solution steps

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

Cross multiply

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

Solve

x (x + 2) = (x - 1) \cdot 8 : x = 4, x = 2

x = 4, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = 4, x = 2

x^{- 2} + 3 x^{- 1} - 4 = 0

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

\frac{2 x - 9}{4 x} = 5

\frac{5}{x} = \frac{6}{5 x} + 1

\frac{4}{( x + 1 ) ^{3}} = 0

What is the answer to x/(x-1)= 8/(x+2) ?
The answer to x/(x-1)= 8/(x+2) is x=4,x=2
Solve for x: x/(x-1)= 8/(x+2)
The solution is x=4,x=2