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

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

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

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

x = 0

Solution steps

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

Cross multiply

x - 2 = 2 x - 2

Move

2

to the right side

x = 2 x

Move

2 x

to the left side

- x = 0

Divide both sides by

- 1

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 2

Combine undefined points with solutions:

x = 0

- \frac{54}{x} = - 6

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

\frac{x}{x + 3} = \frac{2}{9}

\frac{2 x}{( x ^{2} + 1 ) ^{2}} = 0

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