What is the answer to 6/7 =(24)/(n+11) ?

The answer to 6/7 =(24)/(n+11) is n=17

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6/7 =(24)/(n+11)

\frac{6}{7} = \frac{24}{n + 11}

n = 17

Solution steps

\frac{6}{7} = \frac{24}{n + 11}

Cross multiply

6 (n + 11) = 168

Divide both sides by

6

n + 11 = 28

Move

11

to the right side

n = 17

Verify Solutions

Find undefined (singularity) points:

n = - 11

Combine undefined points with solutions:

n = 17

\frac{x}{3} - \frac{9}{x} = 2

\frac{9}{x} + 2 = 20

\frac{8}{x} = \frac{x}{2}

\frac{x + 8}{x} = \frac{15}{9}

\frac{2 x}{x + 3} = 5 - \frac{6}{x + 3}