Question

D= 11/5(p-15)

solve for p.

Answer 1

D=11/5p-33
11/5p=D+33
p=5/11D+15

Answer 2

Answer: The required solution for p is
`p=(11+75D)/(5D).`

Step-by-step explanation: We are given to solve the following equation for the unknown variable p :

`D=(11)/(5(p-15))~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To solve the given equation for p, we must find the value of p in terms of D.

From equation (i), we have

`D=(11)/(5(p-15))\\\\\\\Rightarrow D=(11)/(5p-75)\\\\\\\Rightarrow D(5p-75)=11\\\\\Rightarrow 5Dp-75D=11\\\\\Rightarrow 5Dp=11+75D\\\\\Rightarrow p=(11+75D)/(5D).`

Thus, the required solution for p is
`p=(11+75D)/(5D).`