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

The answer to y=(2y)/(y-1) is y=0,y=3

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

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

y = 0, y = 3

Solution steps

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

Multiply both sides by

y - 1

y (y - 1) = 2 y

Solve

y (y - 1) = 2 y : y = 0, y = 3

y = 0, y = 3

Verify Solutions

Find undefined (singularity) points:

y = 1

Combine undefined points with solutions:

y = 0, y = 3

\frac{3}{2} = \frac{4}{x}

\frac{10000}{x} = 2

2 + \frac{4}{a} = \frac{14}{a} - 3

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

\frac{4}{5 - x} = \frac{- 4}{x - 5}