What is the answer to 3y=8+3/y ?

The answer to 3y=8+3/y is y=3,y=-1/3

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3y=8+3/y

3 y = 8 + \frac{3}{y}

y = 3, y = - \frac{1}{3}

Decimal Notation

y = 3, y = - 0.33333 \dots

Solution steps

3 y = 8 + \frac{3}{y}

Multiply both sides by

y

3 y^{2} = 8 y + 3

Solve

3 y^{2} = 8 y + 3 : y = 3, y = - \frac{1}{3}

y = 3, y = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 3, y = - \frac{1}{3}

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

\frac{6}{a - 6} = \frac{3}{a - 3}

\frac{x + 3}{7} = \frac{3}{x - 1}

\frac{3 x ^{2} - 4}{x} = 3 (x - 4)

y, \frac{x}{y} = x