Respuesta :

texaschic101
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:

[tex]v=\frac{19}{2}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5}(v-7)=2[/tex]

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

[tex]\frac{4}{5}(v-7)=2[/tex]

[tex](v-7)=2 \cdot \frac{5}{4}[/tex]

[tex]v-7=\frac{5}{2}[/tex]

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

[tex]v=\frac{5}{2}+7[/tex]

[tex]v=\frac{5}{2}+\frac{14}(2}[/tex]

[tex]v=\frac{19}{2}[/tex]