Question

Please Helpppp

What is the value of v?



45(v−7)=2



Enter your answer as a mixed number in simplest form in the box.

v =

Answer 1

The solution is: v =
`9(1)/(2)`

Explanation:

Given equation is:

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

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

`5*(4)/(5)(v-7) =5* 2\\{4}(v-7) = 10`

dividing both sides by 4

`(4(v-7))/(4) = (10)/(4)\\v-7 = (5)/(2)\\`

Adding 7 on both sides

`v-7+7 = (5)/(2)+7\\v = (5+14)/(2)\\v = (19)/(2)\\v = 9(1)/(2)`

Hence,

The solution is: v =
`9(1)/(2)`