What is the answer to (2v-3)/4 =(6v+7)/3 ?

The answer to (2v-3)/4 =(6v+7)/3 is v=-37/18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2v-3)/4 =(6v+7)/3

\frac{2 v - 3}{4} = \frac{6 v + 7}{3}

v = - \frac{37}{18}

Decimal Notation

v = - 2.05555 \dots

Solution steps

\frac{2 v - 3}{4} = \frac{6 v + 7}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 v - 3) \cdot 3 = 4 (6 v + 7)

Expand

(2 v - 3) \cdot 3 : 6 v - 9

Expand

4 (6 v + 7) : 24 v + 28

6 v - 9 = 24 v + 28

Move

9

to the right side

6 v = 24 v + 37

Move

24 v

to the left side

- 18 v = 37

Divide both sides by

- 18

v = - \frac{37}{18}

C - (- \frac{2}{3}) + 1 = \frac{1585}{927}

12 - 2 (x + 1) = 5

2 - \frac{x}{3} = \frac{- 5}{2}

x + 10 = 3 x - 2

- 5 n + 31 = - 14 n - 5

What is the answer to (2v-3)/4 =(6v+7)/3 ?
The answer to (2v-3)/4 =(6v+7)/3 is v=-37/18
Solve for v: (2v-3)/4 =(6v+7)/3
The solution is v=-37/18