What is the answer to (2n+3)/4 =(5n-1)/6 ?

The answer to (2n+3)/4 =(5n-1)/6 is n= 11/4

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(2n+3)/4 =(5n-1)/6

\frac{2 n + 3}{4} = \frac{5 n - 1}{6}

n = \frac{11}{4}

Decimal Notation

n = 2.75

Solution steps

\frac{2 n + 3}{4} = \frac{5 n - 1}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 n + 3) \cdot 6 = 4 (5 n - 1)

Expand

(2 n + 3) \cdot 6 : 12 n + 18

Expand

4 (5 n - 1) : 20 n - 4

12 n + 18 = 20 n - 4

Move

18

to the right side

12 n = 20 n - 22

Move

20 n

to the left side

- 8 n = - 22

Divide both sides by

- 8

n = \frac{11}{4}

67 = 0.033 (x - 46)^{2} + 5

\frac{3}{4} = \frac{1}{2} + \frac{d}{7}

- 6 < - 10

k^{2} + 7 k + 10

4 x^{2} - 2500 = 0

What is the answer to (2n+3)/4 =(5n-1)/6 ?
The answer to (2n+3)/4 =(5n-1)/6 is n= 11/4
Solve for n: (2n+3)/4 =(5n-1)/6
The solution is n= 11/4