What is the answer to 6/(3n+1)= 4/(n+1) ?

The answer to 6/(3n+1)= 4/(n+1) is n= 1/3

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6/(3n+1)= 4/(n+1)

\frac{6}{3 n + 1} = \frac{4}{n + 1}

n = \frac{1}{3}

Decimal

n = 0.33333 \dots

Solution steps

\frac{6}{3 n + 1} = \frac{4}{n + 1}

Cross multiply

6 n + 6 = 12 n + 4

Move

6

to the right side

6 n = 12 n - 2

Move

12 n

to the left side

- 6 n = - 2

Divide both sides by

- 6

n = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

n = - \frac{1}{3}, n = - 1

Combine undefined points with solutions:

n = \frac{1}{3}

\frac{( 24 + 55 + 36 )}{x} = 116.88

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

\frac{15}{x} = \frac{5 b}{2 b}

y, x = \frac{3}{y ^{2} - 1}

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

What is the answer to 6/(3n+1)= 4/(n+1) ?
The answer to 6/(3n+1)= 4/(n+1) is n= 1/3
Solve for n: 6/(3n+1)= 4/(n+1)
The solution is n= 1/3