What is the answer to 9/n = 8/(n+3) ?

The answer to 9/n = 8/(n+3) is n=-27

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9/n = 8/(n+3)

\frac{9}{n} = \frac{8}{n + 3}

n = - 27

Solution steps

\frac{9}{n} = \frac{8}{n + 3}

Cross multiply

9 n + 27 = n \cdot 8

Move

27

to the right side

9 n = n \cdot 8 - 27

Move

n 8

to the left side

n = - 27

Verify Solutions

Find undefined (singularity) points:

n = 0, n = - 3

Combine undefined points with solutions:

n = - 27

\frac{4}{5} = \frac{12}{2 y - 3}

3 x^{- 2} - 5 x^{- 1} - 2 = 0

\frac{2}{x} = 5

x - 2 = \frac{35}{x}

x^{- 2} + 3 x^{- 1} + 2 = 0