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

The answer to 3/y = 2/(2-y) is y= 6/5

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3/y = 2/(2-y)

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

y = \frac{6}{5}

Solution steps

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

Cross multiply

6 - 3 y = y \cdot 2

Move

6

to the right side

- 3 y = y \cdot 2 - 6

Move

y 2

to the left side

- 5 y = - 6

Divide both sides by

- 5

y = \frac{6}{5}

Verify Solutions

Find undefined (singularity) points:

y = 0, y = 2

Combine undefined points with solutions:

y = \frac{6}{5}

\frac{4}{5} = \frac{8}{x}

\frac{x ^{2}}{x + 180} = 90

\frac{3}{x ^{2}} + \frac{4}{x} = 5

\frac{7}{x - 3} = 5

\frac{2 x + 1}{x} = 0