A=p+prt. Solve for p and t
A = p(1+rt)
p = A/(1+rt)
A-p = prt
t = (A-p)/pr
To solve the equation A = p + prt for p and t, we can use algebraic manipulation techniques. Let's break down the steps:
Step 1: Factor out p from the right side of the equation:
A = p(1 + rt)
Step 2: Divide both sides of the equation by (1 + rt):
A / (1 + rt) = p
Step 3: Now, we have solved for p. To solve for t, we need to rearrange the equation:
A = p + prt
Step 4: Subtract p from both sides of the equation:
A - p = prt
Step 5: Divide both sides of the equation by pr:
(A - p) / pr = t
Now we have solved for both p and t:
p = A / (1 + rt)
t = (A - p) / pr