What is the answer to (n-5)/(n+8)= 2/7 ?

The answer to (n-5)/(n+8)= 2/7 is n= 51/5

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(n-5)/(n+8)= 2/7

\frac{n - 5}{n + 8} = \frac{2}{7}

n = \frac{51}{5}

Decimal Notation

n = 10.2

Solution steps

\frac{n - 5}{n + 8} = \frac{2}{7}

Cross multiply

7 n - 35 = 2 n + 16

Move

35

to the right side

7 n = 2 n + 51

Move

2 n

to the left side

5 n = 51

Divide both sides by

5

n = \frac{51}{5}

Verify Solutions

Find undefined (singularity) points:

n = - 8

Combine undefined points with solutions:

n = \frac{51}{5}

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

\frac{- 3}{2 x + 1} = \frac{4}{3 x + 1}

4 = \frac{5.6}{x}

\frac{m}{n p ^{2}} = k

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

What is the answer to (n-5)/(n+8)= 2/7 ?
The answer to (n-5)/(n+8)= 2/7 is n= 51/5
Solve for n: (n-5)/(n+8)= 2/7
The solution is n= 51/5