00:01
A person rented six movies and five video games for $56.
00:05
And then the next month you rented two movies and three video games for $26.
00:14
And we want to find the rental fee for movies and for video games.
00:19
So let's define our variables.
00:21
Let's let m be the rental fee for movies.
00:33
And let's use the for the rental fee for video games.
00:38
So we're going to write two equations and we have our two unknowns.
00:50
And the first one, the first equation, we'll use the six movies and five video games and the $56.
00:59
So six movies, the price for renting those would be six times m plus for renting the five video games.
01:09
That would be five times fee and that equals 56.
01:12
Then our second equation will use this information.
01:18
Two movies would be 2 times m plus three video games would be 3 times v equals 26.
01:26
So there's our system of linear equations.
01:30
And there are different ways to solve that.
01:32
But i think we'll use the elimination method.
01:35
So let's do this.
01:37
Let's multiply that bottom equation by negative 3...