00:01
One month, a person rents six movies and two video games for $20.
00:08
Then the next month, this person rents three movies and five games, and they pay $35.
00:14
And we want to find the rental fees.
00:17
The rental fee for the movies, we need to define a variable.
00:20
So let them equal the movie rental fee.
00:30
And we'll let v represent the video game rental fee.
00:40
So we can write two equations with two unknowns.
00:43
We have six movies and two video games for $20.
00:47
So one equation would be six times m.
00:52
So that's how much they pay per movie times the number of movies they rented.
00:59
Plus 2v would take care of the cost of the video fees and that was for total of $20.
01:11
And then our second equation would be the three movies and the five games for $35.
01:17
So three movies, the cost of three movies would be three times m plus the cost of five video games and that was equal to 35.
01:27
So we can use the process of elimination.
01:31
So we want to figure out a number that we can make, where we can make the coefficients of either m or v the same and opposite.
01:41
So let's multiply that bottom one, multiply by negative 2.
01:49
So we're going to multiply all of this by negative 2.
01:51
We're going to leave that top equation alone...