Solve I = Prt for r

Step by step

The question

Question: solve for r in I = Prt.

We treat the other letters like numbers.

1 r on the left

r is on the right.

We swap the two sides, so r is on the left.

They are still equal.

2 Remove the Pt

Ptr means Pt times r.

We want just r.

To remove times Pt, we divide by Pt.

We do it on both sides.

Pt divided by Pt is 1.

So just r is left.

So r = I over Pt.

3 Check

Let's check with numbers.

We pick I = 6, P = 2, t = 3.

Our answer gives r = 1.

Now we put all the numbers into the start.

First the left side.

Now the right side.

Both sides are 6.

So our answer is right!

Let's look back.

First: r on the left.

Then: remove the Pt.

Last: check.