What is the answer to 3/y-5=(20)/(2y) ?

The answer to 3/y-5=(20)/(2y) is y=-7/5

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3/y-5=(20)/(2y)

\frac{3}{y} - 5 = \frac{20}{2 y}

y = - \frac{7}{5}

Decimal Notation

y = - 1.4

Solution steps

\frac{3}{y} - 5 = \frac{20}{2 y}

Simplify

\frac{20}{2 y} : \frac{10}{y}

\frac{3}{y} - 5 = \frac{10}{y}

Multiply both sides by

y

3 - 5 y = 10

Move

3

to the right side

- 5 y = 7

Divide both sides by

- 5

y = - \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - \frac{7}{5}

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

\frac{x}{1 + x ^{2}} = - 0.6289024

d, F = \frac{k QC}{d}

\frac{5}{12} = \frac{3}{x ^{2}}

\frac{5 x + 10}{x + 2} = 4