What is the answer to 3+1/(4a)=31 ?

The answer to 3+1/(4a)=31 is a= 1/112

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3+1/(4a)=31

3 + \frac{1}{4 a} = 31

a = \frac{1}{112}

Decimal Notation

a = 0.00892 \dots

Solution steps

3 + \frac{1}{4 a} = 31

Move

3

to the right side

\frac{1}{4 a} = 28

Multiply both sides by

a

\frac{1}{4} = 28 a

Switch sides

28 a = \frac{1}{4}

Divide both sides by

28

a = \frac{1}{112}

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{1}{112}

y, x = \frac{y}{5 y + 1}

10 = \frac{1}{x}

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

\frac{6}{x} = \frac{3}{8}

\frac{20}{x} = \frac{13}{12.25}