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

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

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

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Cross multiply

x^{2} - 2 x = x^{2} - 1

Move

x^{2}

to the left side

- 2 x = - 1

Divide both sides by

- 2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 2

Combine undefined points with solutions:

x = \frac{1}{2}

3 + \frac{1}{4 a} = 31

y, x = \frac{y}{5 y + 1}

10 = \frac{1}{x}

\frac{3}{x - 1} + \frac{3}{x + 1} = 4

\frac{6}{x} = \frac{3}{8}

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