A=p-prt for r . would you show me how to solve this equation step by step?

A=p-prt for r

1 Answer
May 15, 2018

#r = \frac{p-A}{pt}#

Explanation:

The idea here is to isolate the prt onto one side of the equation and then solve for r:
Add prt to both sides:
# A+ prt = p - prt + prt #
#A + prt = p# subtract A from both sides
#A-A + prt = p-A#
#prt = p-A # Now that prt is isolated, you can solve for r

Divide both sides by pt (restriction #pt \ne 0 #)
#\frac{prt}{pt} = \frac{p-A}{pt}#
#r = \frac{p-A}{pt}#