What is the answer to 5/(2y)-1/y = 3/4 ?

The answer to 5/(2y)-1/y = 3/4 is y=2

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5/(2y)-1/y = 3/4

\frac{5}{2 y} - \frac{1}{y} = \frac{3}{4}

y = 2

Solution steps

\frac{5}{2 y} - \frac{1}{y} = \frac{3}{4}

Multiply by LCM

6 = 3 y

Switch sides

3 y = 6

Divide both sides by

3

y = 2

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 2

x - \frac{7}{x - 8} = 2 x

\frac{x + 3}{3} + \frac{5}{x - 4} = 5

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

\frac{3}{x} + 6 = x

x, z = \frac{x y}{x ^{2} + y ^{2}}