00:01
In your question, you're given information to create a system of equations.
00:04
I will start by defining my variables.
00:06
I'm going to say let x equal the price of popcorn.
00:14
We'll say a box of popcorn.
00:22
And we have y, which is going to stand for the price of a soda, or soft drink.
00:35
Now, in the first sentence, it tells us that four boxes of popcorn, which would be four times the price combined with five, i'm sorry, three soft drinks equals a total of $29.
00:52
And then we also are told five boxes of popcorn and two soft drinks equals $31.
01:07
So that would be your part a equation where i just took the number of boxes times the variable for cost.
01:15
It looks to me like you are only giving the left side of the equation because they already have the right side for you.
01:24
Now in part b, you want to solve this and determine the price.
01:29
So i want to use a method called elimination.
01:32
I'm going to multiply the first equation by 2 and the second equation by negative 3.
01:37
That's going to give me an 8x plus 6y equals 58 for the first equation.
01:44
Every part was multiplied by 2.
01:47
The second equation would be negative 15 x minus 6y equals negative 93...