solve for r c=1/4h(r+z)

Question

i am not sure how to solve this problem please help c=1/4h(r+z) solve for r

Answer 1

c=¼·h(r+z)   multiply both sides by 4   We have:

4c=h(r+z)   Remove the brackets in the right side.  We have:

4c=hr+hz   Subtract hz from both sides.   We have:

4c-hz=hr    Divide both sides by h to get r alone.

(4c-hz)/h=r 

The answer is: r=(4c-hz)/h (=4c/h - z)*

* There are lots of ways to solve this problem.   For example, cx(4/h)=¼·h(r+z)x(4/h) ⇒ 4c/h=r+z ⇒          4c/h - (z)=r+z - (z) ⇒ 4c/h - z=r ⇒r=4c/h - z, or r=(4c-zh)/h