What is the answer to 3/(4n-1)= 2/(2n-5) ?

The answer to 3/(4n-1)= 2/(2n-5) is n=-13/2

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3/(4n-1)= 2/(2n-5)

\frac{3}{4 n - 1} = \frac{2}{2 n - 5}

n = - \frac{13}{2}

Decimal Notation

n = - 6.5

Solution steps

\frac{3}{4 n - 1} = \frac{2}{2 n - 5}

Cross multiply

6 n - 15 = 8 n - 2

Move

15

to the right side

6 n = 8 n + 13

Move

8 n

to the left side

- 2 n = 13

Divide both sides by

- 2

n = - \frac{13}{2}

Verify Solutions

Find undefined (singularity) points:

n = \frac{1}{4}, n = \frac{5}{2}

Combine undefined points with solutions:

n = - \frac{13}{2}

\frac{x}{2 a} = \frac{4 a}{x + 2 a}

\frac{1}{x - 2} + 5 = \frac{21}{x - 2}

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

\frac{4 ( x - 2 )}{x - 3} = 3

y, \frac{y + 1}{y - 1} = x

What is the answer to 3/(4n-1)= 2/(2n-5) ?
The answer to 3/(4n-1)= 2/(2n-5) is n=-13/2
Solve for n: 3/(4n-1)= 2/(2n-5)
The solution is n=-13/2