What is the answer to 3= 1/4-5/y ?

The answer to 3= 1/4-5/y is y=-20/11

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3= 1/4-5/y

3 = \frac{1}{4} - \frac{5}{y}

y = - \frac{20}{11}

Decimal Notation

y = - 1.81818 \dots

Solution steps

3 = \frac{1}{4} - \frac{5}{y}

Multiply by LCM

12 y = y - 20

Move

y

to the left side

11 y = - 20

Divide both sides by

11

y = - \frac{20}{11}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - \frac{20}{11}

\frac{[ x + 5 ] ^{2} - 4}{x + 3} = 0

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

(\frac{1400}{y} - 3) (y - 3) = 1175

\frac{2}{2 x - 1} = \frac{5}{x + 1}

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