What is the answer to 9/(n+7)= 5/(n+3) ?

The answer to 9/(n+7)= 5/(n+3) is n=2

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9/(n+7)= 5/(n+3)

\frac{9}{n + 7} = \frac{5}{n + 3}

n = 2

Solution steps

\frac{9}{n + 7} = \frac{5}{n + 3}

Cross multiply

9 n + 27 = 5 n + 35

Move

27

to the right side

9 n = 5 n + 8

Move

5 n

to the left side

4 n = 8

Divide both sides by

4

n = 2

Verify Solutions

Find undefined (singularity) points:

n = - 7, n = - 3

Combine undefined points with solutions:

n = 2

\frac{614}{x - 815} = 8

- 2 = \frac{- 2}{( x + 1 ) ^{2}}

\frac{5}{7} = \frac{12}{y}

\frac{3 x}{3 x - 7} = 4

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