What is the answer to 4/(n+2)= 7/n ?

The answer to 4/(n+2)= 7/n is n=-14/3

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4/(n+2)= 7/n

\frac{4}{n + 2} = \frac{7}{n}

n = - \frac{14}{3}

Decimal Notation

n = - 4.66666 \dots

Solution steps

\frac{4}{n + 2} = \frac{7}{n}

Cross multiply

4 n = 7 n + 14

Move

7 n

to the left side

- 3 n = 14

Divide both sides by

- 3

n = - \frac{14}{3}

Verify Solutions

Find undefined (singularity) points:

n = - 2, n = 0

Combine undefined points with solutions:

n = - \frac{14}{3}

1 - \frac{4}{x} = \frac{5}{6}

\frac{7}{5 x - 6} = \frac{2}{2 x - 5}

t, s = \frac{d}{t}

\frac{3}{x + 1} = \frac{7}{3 x - 3}

\frac{7}{x - 5} = \frac{5}{x + 7}