What is the answer to (n+7)/4 =(2n-1)/2 ?

The answer to (n+7)/4 =(2n-1)/2 is n=3

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(n+7)/4 =(2n-1)/2

\frac{n + 7}{4} = \frac{2 n - 1}{2}

n = 3

Solution steps

\frac{n + 7}{4} = \frac{2 n - 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(n + 7) \cdot 2 = 4 (2 n - 1)

Expand

(n + 7) \cdot 2 : 2 n + 14

Expand

4 (2 n - 1) : 8 n - 4

2 n + 14 = 8 n - 4

Move

14

to the right side

2 n = 8 n - 18

Move

8 n

to the left side

- 6 n = - 18

Divide both sides by

- 6

n = 3

y, x = 7 - 2 y

2 (y - 7) - 4 (5 - 3 y) = 2 (4 y - 1) + 5 (1 + 2 y)

- 1 = - 1 - 6 y - 1 - 6 y

y, 2 x - 3 y = 7

\frac{1}{a} x - 4 = 9

What is the answer to (n+7)/4 =(2n-1)/2 ?
The answer to (n+7)/4 =(2n-1)/2 is n=3
Solve for n: (n+7)/4 =(2n-1)/2
The solution is n=3