Solve A = lw for w

Step by step

The question

Question: solve for w in A = lw.

We treat the other letters like numbers.

1 w on the left

w is on the right.

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

They are still equal.

2 Remove the l

lw means l times w.

We want just w.

To remove times l, we divide by l.

We do it on both sides.

l divided by l is 1.

So just w is left.

So w = A over l.

3 Check

Let's check with numbers.

We pick A = 4, l = 2.

Our answer gives w = 2.

Now we put all the numbers into the start.

First the left side.

Now the right side.

Both sides are 4.

So our answer is right!

Let's look back.

First: w on the left.

Then: remove the l.

Last: check.