What is the answer to 1/y =8-3/y ?

The answer to 1/y =8-3/y is y= 1/2

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1/y =8-3/y

\frac{1}{y} = 8 - \frac{3}{y}

y = \frac{1}{2}

Decimal Notation

y = 0.5

Solution steps

\frac{1}{y} = 8 - \frac{3}{y}

Multiply both sides by

y

1 = 8 y - 3

Switch sides

8 y - 3 = 1

Move

3

to the right side

8 y = 4

Divide both sides by

8

y = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = \frac{1}{2}

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

y, v = y^{- 4}

- f (a) = \frac{6 x - 1}{5 x + 2}

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

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