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

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

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

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

n = 3

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(3 n + 1) \cdot 3 = 6 (2 n - 1)

Expand

(3 n + 1) \cdot 3 : 9 n + 3

Expand

6 (2 n - 1) : 12 n - 6

9 n + 3 = 12 n - 6

Move

3

to the right side

9 n = 12 n - 9

Move

12 n

to the left side

- 3 n = - 9

Divide both sides by

- 3

n = 3

14 = \frac{6 + z}{- 2}

y, 3 x^{3} - 2 x^{2} y + 5 x y = y - 3 x

y, x - 2 y = 6

x, 2 x + y - 2 = 0

- 9 + \frac{1}{4} (8 n + 16) = \frac{1}{4} (20 n + 4)

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