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

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

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2= 9/(r-5)

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

r = \frac{19}{2}

Decimal Notation

r = 9.5

Solution steps

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

Multiply both sides by

r - 5

2 (r - 5) = 9

Divide both sides by

2

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

Move

5

to the right side

r = \frac{19}{2}

Verify Solutions

Find undefined (singularity) points:

r = 5

Combine undefined points with solutions:

r = \frac{19}{2}

\frac{2}{7} = \frac{5}{x}

\frac{a}{b} = \frac{1}{n}

\frac{5}{x} = \frac{4}{9}

\frac{n + 4}{4 n} = \frac{6}{4}

\frac{12}{n + 3} = \frac{3}{2}