What is the answer to (n-6)/(n-7)= 9/2 ?

The answer to (n-6)/(n-7)= 9/2 is n= 51/7

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(n-6)/(n-7)= 9/2

\frac{n - 6}{n - 7} = \frac{9}{2}

n = \frac{51}{7}

Decimal Notation

n = 7.28571 \dots

Solution steps

\frac{n - 6}{n - 7} = \frac{9}{2}

Cross multiply

2 n - 12 = 9 n - 63

Move

12

to the right side

2 n = 9 n - 51

Move

9 n

to the left side

- 7 n = - 51

Divide both sides by

- 7

n = \frac{51}{7}

Verify Solutions

Find undefined (singularity) points:

n = 7

Combine undefined points with solutions:

n = \frac{51}{7}

\frac{4}{x} = \frac{29}{8 x} + 3

\frac{7}{x + 4} = \frac{9}{5 x - 6}

\frac{3}{x - 6} = \frac{7}{x + 2}

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

0.2 = \frac{x ^{2}}{35 - x}

What is the answer to (n-6)/(n-7)= 9/2 ?
The answer to (n-6)/(n-7)= 9/2 is n= 51/7
Solve for n: (n-6)/(n-7)= 9/2
The solution is n= 51/7