What is the answer to 1/(2n)+(6n-9)/(3n)= 2/n ?

The answer to 1/(2n)+(6n-9)/(3n)= 2/n is n= 9/4

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1/(2n)+(6n-9)/(3n)= 2/n

\frac{1}{2 n} + \frac{6 n - 9}{3 n} = \frac{2}{n}

n = \frac{9}{4}

Decimal

n = 2.25

Solution steps

\frac{1}{2 n} + \frac{6 n - 9}{3 n} = \frac{2}{n}

Multiply by LCM

1 + 2 (2 n - 3) = 4

Move

1

to the right side

2 (2 n - 3) = 3

Divide both sides by

2

2 n - 3 = \frac{3}{2}

Move

3

to the right side

2 n = \frac{9}{2}

Divide both sides by

2

n = \frac{9}{4}

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = \frac{9}{4}

1 + \frac{x}{x + 9} = \frac{1}{x + 9}

- \frac{x}{∣ x ∣} = 0

- 2 (2) + b = \frac{- 24}{x - b}

x + \frac{3}{x + 1} = \frac{5}{x + 1}

r, p = \frac{2 q + r}{q r}

What is the answer to 1/(2n)+(6n-9)/(3n)= 2/n ?
The answer to 1/(2n)+(6n-9)/(3n)= 2/n is n= 9/4
Solve for n: 1/(2n)+(6n-9)/(3n)= 2/n
The solution is n= 9/4