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

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

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1/(y-1)= 2/(y-2)

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

y = 0

Solution steps

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

Cross multiply

y - 2 = 2 y - 2

Move

2

to the right side

y = 2 y

Move

2 y

to the left side

- y = 0

Divide both sides by

- 1

y = 0

Verify Solutions

Find undefined (singularity) points:

y = 1, y = 2

Combine undefined points with solutions:

y = 0

\frac{2}{x ^{2}} = 0

\frac{80}{X} - \frac{80}{X + 6} = 3

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

f (x) (f (x) (x)^{- 1} (x)) = x

\frac{4}{x} + \frac{1}{2 x} = 7