What is the answer to (15-1)/(6n)= 1/(6n-1) ?

The answer to (15-1)/(6n)= 1/(6n-1) is n= 7/39

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(15-1)/(6n)= 1/(6n-1)

\frac{15 - 1}{6 n} = \frac{1}{6 n - 1}

n = \frac{7}{39}

Decimal Notation

n = 0.17948 \dots

Solution steps

\frac{15 - 1}{6 n} = \frac{1}{6 n - 1}

Cross multiply

42 n - 7 = 3 n

Move

7

to the right side

42 n = 3 n + 7

Move

3 n

to the left side

39 n = 7

Divide both sides by

39

n = \frac{7}{39}

Verify Solutions

Find undefined (singularity) points:

n = 0, n = \frac{1}{6}

Combine undefined points with solutions:

n = \frac{7}{39}

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

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

\frac{0.7}{1.4} = \frac{15}{x}

6 z - \frac{4}{1 + 2 z} = 3

10 = 500 (b)^{- 3}

What is the answer to (15-1)/(6n)= 1/(6n-1) ?
The answer to (15-1)/(6n)= 1/(6n-1) is n= 7/39
Solve for n: (15-1)/(6n)= 1/(6n-1)
The solution is n= 7/39