What is the answer to 5/a+3/4 = 1/a ?

The answer to 5/a+3/4 = 1/a is a=-16/3

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5/a+3/4 = 1/a

\frac{5}{a} + \frac{3}{4} = \frac{1}{a}

a = - \frac{16}{3}

Decimal Notation

a = - 5.33333 \dots

Solution steps

\frac{5}{a} + \frac{3}{4} = \frac{1}{a}

Multiply by LCM

20 + 3 a = 4

Move

20

to the right side

3 a = - 16

Divide both sides by

3

a = - \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = - \frac{16}{3}

0 = 1 - \frac{1}{x - 3}

\frac{6 - 5 + 14}{n \times 2} = 15

\frac{x ^{2} - x - 6}{x - 3} = 5 x - 1

\frac{1}{x} = \frac{1}{4} + \frac{1}{12}

\frac{2 x - 5}{5 + 2 x} = \frac{7}{4}