What is the answer to 2/3 = 1/y+1/6 ?

The answer to 2/3 = 1/y+1/6 is y=2

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2/3 = 1/y+1/6

\frac{2}{3} = \frac{1}{y} + \frac{1}{6}

y = 2

Solution steps

\frac{2}{3} = \frac{1}{y} + \frac{1}{6}

Multiply by LCM

4 y = 6 + y

Move

y

to the left side

3 y = 6

Divide both sides by

3

y = 2

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 2

\frac{6}{x ^{3}} = 0

n + \frac{4}{n} = \frac{29}{5}

1 - \frac{2}{3 - \frac{4}{5 - \frac{6}{x}}} = 0

\frac{11}{x + 4} = - \frac{11}{7}

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