What is the answer to 2= 2/3-7/y ?

The answer to 2= 2/3-7/y is y=-21/4

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2= 2/3-7/y

2 = \frac{2}{3} - \frac{7}{y}

y = - \frac{21}{4}

Decimal Notation

y = - 5.25

Solution steps

2 = \frac{2}{3} - \frac{7}{y}

Multiply by LCM

6 y = 2 y - 21

Move

2 y

to the left side

4 y = - 21

Divide both sides by

4

y = - \frac{21}{4}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - \frac{21}{4}

y - \frac{1}{y} = \frac{3 y}{4}

a c = \frac{d}{r}

\frac{x + 8}{x - 2} = \frac{3}{x}

x, t^{2} = b - \frac{n}{x}

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