What is the answer to 2= 9/(b-5) ?

The answer to 2= 9/(b-5) is b= 19/2

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2= 9/(b-5)

2 = \frac{9}{b - 5}

b = \frac{19}{2}

Decimal Notation

b = 9.5

Solution steps

2 = \frac{9}{b - 5}

Multiply both sides by

b - 5

2 (b - 5) = 9

Divide both sides by

2

b - 5 = \frac{9}{2}

Move

5

to the right side

b = \frac{19}{2}

Verify Solutions

Find undefined (singularity) points:

b = 5

Combine undefined points with solutions:

b = \frac{19}{2}

x + x^{- 1} = 0

\frac{396.1}{17} = \frac{699}{x}

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

\frac{6}{9} = \frac{2}{x - 5}

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