00:01
In this problem, we're given the equation, a equals r plus lowercase a times b.
00:06
And in part a, we're being asked to solve for r.
00:09
In other words, we want to isolate r on either side of the equation.
00:13
Well, let's look at the right -hand side of the equation, where it says r plus lowercase a times b.
00:20
Well, because we're adding ab to r, we need to move that ab term to the other side of the equation.
00:27
Well, what's the opposite of adding ab? well, that would be to subtract ab, and that's exactly what we're going to do.
00:35
So now, on the left -hand side, we have capital a minus lowercase a times b.
00:40
Well, these are not like terms, and therefore cannot be combined.
00:43
So we will simply have capital a minus lowercase a times b.
00:49
Equals, well, on the other side of the equation, we have r, and nothing has happened to that, so that will stay.
00:54
And then we have ab minus ab.
00:57
Well, that's equal to zero, so those will cancel.
00:58
And now we've got an r by itself.
01:01
So we've found that capital a minus lowercase a times b is equal to r.
01:07
Now, for part b, we're given the same equation, except this time we want to solve for a, meaning we want to isolate lowercase a by itself.
01:17
Well, let's again look on the right -hand side of our equation.
01:21
We're adding r to the term a -b.
01:23
We first need to move that r to the other side of the equation.
01:26
Well, what's the opposite of adding r? well, it would be to subtract r.
01:31
And that's what we're going to do first...