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

The answer to (5+2y)/4 =(2y-1)/3 is y= 19/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y = \frac{19}{2}

Decimal

y = 9.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(5 + 2 y) \cdot 3 : 15 + 6 y

Expand

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

15 + 6 y = 8 y - 4

Move

15

to the right side

6 y = 8 y - 19

Move

8 y

to the left side

- 2 y = - 19

Divide both sides by

- 2

y = \frac{19}{2}

y, x + 4 y = 0

x + 5 = 25

3 a + 49 - 5 a = 2 a + 72 - 9 a

x = lo g_{81} (3)

a + 3 = - 1

What is the answer to (5+2y)/4 =(2y-1)/3 ?
The answer to (5+2y)/4 =(2y-1)/3 is y= 19/2
Solve for y: (5+2y)/4 =(2y-1)/3
The solution is y= 19/2