What is the answer to 6/(2n-5)= 2/(n-7) ?

The answer to 6/(2n-5)= 2/(n-7) is n=16

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6/(2n-5)= 2/(n-7)

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

n = 16

Solution steps

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

Cross multiply

6 n - 42 = 4 n - 10

Move

42

to the right side

6 n = 4 n + 32

Move

4 n

to the left side

2 n = 32

Divide both sides by

2

n = 16

Verify Solutions

Find undefined (singularity) points:

n = \frac{5}{2}, n = 7

Combine undefined points with solutions:

n = 16

\frac{5}{y + 3} - 2 = \frac{7}{y + 3}

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

x + \frac{1}{x} = 5

\frac{x ^{2} + 1}{x ^{2}} = 0

x^{- 3} - 9 x^{2} + 8 = 0

What is the answer to 6/(2n-5)= 2/(n-7) ?
The answer to 6/(2n-5)= 2/(n-7) is n=16
Solve for n: 6/(2n-5)= 2/(n-7)
The solution is n=16