Answer:
The solution is: v = [tex]9\frac{1}{2}[/tex]
Step-by-step explanation:
Given equation is:
[tex]\frac{4}{5}(v-7) = 2[/tex]
The given equation is a linear equation in one variable. The solution requires isolating v on one side of the equation. Simple equality properties can be used to solve the equation.
So,
Multiplying both sides of equation with 5
[tex]5*\frac{4}{5}(v-7) =5* 2\\{4}(v-7) = 10[/tex]
dividing both sides by 4
[tex]\frac{4(v-7)}{4} = \frac{10}{4}\\v-7 = \frac{5}{2}\\[/tex]
Adding 7 on both sides
[tex]v-7+7 = \frac{5}{2}+7\\v = \frac{5+14}{2}\\v = \frac{19}{2}\\v = 9\frac{1}{2}[/tex]
Hence,
The solution is: v = [tex]9\frac{1}{2}[/tex]
