Question

Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r

Answer 1

`v = (rk)/(2) + h`

Explanation:

Given the equation,
`r = (2(v - h))/(k)`, in order to solve for v:

Start by multiplying both sides by k:

`(k)r = (2(v - h))/(k) (k)`

rk = 2(v - h)

Divide both sides by 2:

`(rk)/(2) = (2(v-h))/(2)`

`(rk)/(2) = v - h`

Add h to both sides to isolate v :

`(rk)/(2) + h = v - h + h`

`(rk)/(2) + h = v`