What is the answer to (2pi)/b =3pi ?

The answer to (2pi)/b =3pi is b= 2/3

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(2pi)/b =3pi

\frac{2 π}{b} = 3 π

b = \frac{2}{3}

Decimal Notation

b = 0.66666 \dots

Solution steps

\frac{2 π}{b} = 3 π

Multiply both sides by

b

2 π = 3 πb

Switch sides

3 πb = 2 π

Divide both sides by

3 π

b = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{2}{3}

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

l, a = \frac{r}{2 l}

\frac{4}{x - 6} = \frac{2}{x + 2}

\frac{x - 3}{x + 5} = \frac{2}{x - 1}

\frac{3 x}{x + 3} = 5 - \frac{9}{x + 3}