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

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

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

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

x = 3

Solution steps

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

Cross multiply

x + 1 = 2 x - 2

Move

1

to the right side

x = 2 x - 3

Move

2 x

to the left side

- x = - 3

Divide both sides by

- 1

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 3

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

r, S = \frac{a}{a - r}

\frac{3 x + 5}{2} + \frac{1}{x} = 0

\frac{8}{u} - (- 2) = 6

\frac{0.1}{2} = \frac{0.5}{x}