solve:
I=Prt, for P
P = I/rt
To solve the equation I = Prt for P, we need to isolate P on one side of the equation.
Given:
I = Prt
Step 1: Divide both sides of the equation by (rt):
I / (rt) = (Prt) / (rt)
Step 2: Simplify the right side of the equation:
I / (rt) = P
Therefore, the equation is solved for P and the solution is P = I / (rt).
To solve for P in the equation I = Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time:
1. Start by moving the term Prt to the other side of the equation, to isolate the variable P:
I - Prt = 0
2. Factor out P from the left side of the equation:
P(r * t) - I = 0
3. Distribute P across the parentheses:
Prt - I = 0
4. Add I to both sides of the equation to remove the negative sign:
Prt = I
5. Finally, divide both sides of the equation by rt to solve for P:
P = I / (rt)
Therefore, the solution to the equation is P = I / (rt).