Question

What is the value of v? 4/5(v−7)=2

Answer 1

4/5(v - 7) = 2...distribute the 4/5 thru the parenthesis
4/5v - 28/5 = 2 ...multiply everything by 5
4v - 28 = 10...add 28 to both sides
4v = 10 + 28
4v = 38
v = 38/4 reduces to 19/2 or 9 1/2 <==

Answer 2

`v=(19)/(2)`

Explanation:

`(4)/(5)(v-7)=2`

WE need to find the value of v. solve for v

We have fraction on the left side of the equation. To remove the fraction , flip the fraction and multiply it on both sides

`(4)/(5)(v-7)=2`

`(v-7)=2 \cdot (5)/(4)`

`v-7=(5)/(2)`

To get 'v' alone, we add 7 on both sides

`v=(5)/(2)+7`

`v=(5)/(2)+\frac{14}(2}`

`v=(19)/(2)`