What is the answer to 3/y = 6/(y-2) ?

The answer to 3/y = 6/(y-2) is y=-2

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3/y = 6/(y-2)

\frac{3}{y} = \frac{6}{y - 2}

y = - 2

Solution steps

\frac{3}{y} = \frac{6}{y - 2}

Cross multiply

3 y - 6 = y \cdot 6

Move

6

to the right side

3 y = y \cdot 6 + 6

Move

y 6

to the left side

- 3 y = 6

Divide both sides by

- 3

y = - 2

Verify Solutions

Find undefined (singularity) points:

y = 0, y = 2

Combine undefined points with solutions:

y = - 2

\frac{4}{x - 2} + \frac{3}{x - 1} = 3

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

\frac{6}{x - 2} - \frac{6}{x + 1} = 1

\frac{3 x}{4} = \frac{12}{x}

x^{- 2} = \frac{1}{25}