What is the answer to 10/7 = n/(n-7) ?

The answer to 10/7 = n/(n-7) is n= 70/3

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10/7 = n/(n-7)

\frac{10}{7} = \frac{n}{n - 7}

n = \frac{70}{3}

Decimal Notation

n = 23.33333 \dots

Solution steps

\frac{10}{7} = \frac{n}{n - 7}

Cross multiply

10 n - 70 = 7 n

Move

70

to the right side

10 n = 7 n + 70

Move

7 n

to the left side

3 n = 70

Divide both sides by

3

n = \frac{70}{3}

Verify Solutions

Find undefined (singularity) points:

n = 7

Combine undefined points with solutions:

n = \frac{70}{3}

\frac{1}{2 x - 2 x ^{2}} = - 7

\frac{84}{d} = \frac{7}{2}

a = \frac{1}{2 ( b + b ) h}

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

\frac{10}{6} = \frac{15}{x}