Tamara J. answered 03/14/13
Math Tutoring - Algebra and Calculus (all levels)
p(ku + z) = n + c
Since p is being multiplied by all the term inside the parentheses, you solve for p by dividing both sides of the equation by the terms inside the parenthesis. That is, divide both sides by ku + z:
p(ku + z) = n + c
p(ku + z)/(ku + z) = (n + c)/(ku + z)
p = (n + c)/(ku + z)
To solve for u, first distribute the p by multiplying it by each term inside the parenthesis:
p(ku + z) = n + c
pku + pz = n + c
Then, subtract pz from both sides of the equation:
pku + pz - pz = n + c - pz
pku = n + c - pz
Now divide both sides by pk to solve for u:
pku = n + c - pz
pku/(pk) = (n + c - pz)/(pk)
u = (n + c - pz)/(pk)