What is the answer to 3/(n+1)= 4/(n+4) ?

The answer to 3/(n+1)= 4/(n+4) is n=8

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3/(n+1)= 4/(n+4)

\frac{3}{n + 1} = \frac{4}{n + 4}

n = 8

Solution steps

\frac{3}{n + 1} = \frac{4}{n + 4}

Cross multiply

3 n + 12 = 4 n + 4

Move

12

to the right side

3 n = 4 n - 8

Move

4 n

to the left side

- n = - 8

Divide both sides by

- 1

n = 8

Verify Solutions

Find undefined (singularity) points:

n = - 1, n = - 4

Combine undefined points with solutions:

n = 8

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

2 x - \frac{2000}{x ^{2}} = 0

3 (x + 2)^{- 1} - \frac{4}{x} = 0

\frac{2 x - 1}{2 x + 2} = \frac{7}{10}

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