What is the answer to 11/3 = 9/(n-5) ?

The answer to 11/3 = 9/(n-5) is n= 82/11

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11/3 = 9/(n-5)

\frac{11}{3} = \frac{9}{n - 5}

n = \frac{82}{11}

Decimal Notation

n = 7.45454 \dots

Solution steps

\frac{11}{3} = \frac{9}{n - 5}

Cross multiply

11 (n - 5) = 27

Divide both sides by

11

n - 5 = \frac{27}{11}

Move

5

to the right side

n = \frac{82}{11}

Verify Solutions

Find undefined (singularity) points:

n = 5

Combine undefined points with solutions:

n = \frac{82}{11}

θ, r = \frac{1}{θ}

\frac{x ^{4} + 4}{x ^{2}} = 5

2 + \frac{9}{r - 3} = \frac{3 r}{r - 3}

\frac{5}{3 x + 3} = 8

P = \frac{R - C}{N}