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

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

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

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

x = 0

Solution steps

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

Cross multiply

2 x - 2 = x - 2

Move

2

to the right side

2 x = x

Move

x

to the left side

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0

\frac{7}{x + 9} = \frac{21}{36}

\frac{9}{x + 9} = \frac{4}{x - 1}

x, - \frac{3}{x} + y = 15

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

z + \frac{10}{z} = 6