00:03
All right, we're told that we have two linear equations and two unknowns.
00:08
Don't let the wording fool you.
00:10
That's like, you know, y equals 5x plus 7, y equals 2x minus 3.
00:15
We have two linear equations.
00:17
That's important.
00:18
And two unknowns means two variables.
00:20
Typically, we just write them in terms of x and y.
00:23
We want to know how many solutions are possible.
00:26
Well, the solutions are the values that work in both.
00:31
And graphically, i think, is.
00:33
The easiest to actually show this because if they're linear equations, they form lines.
00:38
Okay.
00:39
So if we have two lines, how many times do we have a point that works on both lines? well, we have a few options.
00:49
All right.
00:49
If the two lines are not parallel, well, then they're going to cross exactly once.
00:56
All right.
00:57
So how many solutions are possible? it's possible to have one solution.
01:04
That's not the only answer.
01:06
So bear with me for a second here, but that's one possible answer.
01:09
We would get one solution in a case like this where they meet once...