What is the answer to 4/y-5=(18)/(2y) ?

The answer to 4/y-5=(18)/(2y) is y=-1

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4/y-5=(18)/(2y)

\frac{4}{y} - 5 = \frac{18}{2 y}

y = - 1

Solution steps

\frac{4}{y} - 5 = \frac{18}{2 y}

Simplify

\frac{18}{2 y} : \frac{9}{y}

\frac{4}{y} - 5 = \frac{9}{y}

Multiply both sides by

y

4 - 5 y = 9

Move

4

to the right side

- 5 y = 5

Divide both sides by

- 5

y = - 1

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - 1

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

x - \frac{7}{x} = 6

\frac{1}{x} = 13

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

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