What is the answer to (n-5)/(n+5)= 7/4 ?

The answer to (n-5)/(n+5)= 7/4 is n=-55/3

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(n-5)/(n+5)= 7/4

\frac{n - 5}{n + 5} = \frac{7}{4}

n = - \frac{55}{3}

Decimal Notation

n = - 18.33333 \dots

Solution steps

\frac{n - 5}{n + 5} = \frac{7}{4}

Cross multiply

4 n - 20 = 7 n + 35

Move

20

to the right side

4 n = 7 n + 55

Move

7 n

to the left side

- 3 n = 55

Divide both sides by

- 3

n = - \frac{55}{3}

Verify Solutions

Find undefined (singularity) points:

n = - 5

Combine undefined points with solutions:

n = - \frac{55}{3}

a, x = \frac{- b}{2 a}

\frac{7}{5} = \frac{x}{9 - x}

x + \frac{1}{x} = c + \frac{1}{c}

\frac{x}{x - 3} + 8 = \frac{3}{x - 3}

\frac{5}{y - 4} - \frac{2}{3 y + 1} = 0

What is the answer to (n-5)/(n+5)= 7/4 ?
The answer to (n-5)/(n+5)= 7/4 is n=-55/3
Solve for n: (n-5)/(n+5)= 7/4
The solution is n=-55/3