https://file.aiquickdraw.com/mathbot/file/1729700719931ox8ubvkk.jpg

From the problem in the image, we can break it down as follows:

- Let $ x $ represent the price of a regular ticket.
- Let $ y $ represent the price of a 3-D ticket.

### Step 1: Relationship between regular and 3-D tickets
The 3-D ticket costs $2 more than the regular ticket. This gives us the equation:
\[
y = x + 2
\]

### Step 2: Total cost for the tickets
Oliver bought 5 regular tickets and 4 3-D tickets, and the total cost was $89. This can be written as:
\[
5x + 4y = 89
\]

### System of equations
We now have the following system of equations:
\[
\begin{cases}
y = x + 2 \\
5x + 4y = 89
\end{cases}
\]

This system can be used to solve for $ x $ (the price of a regular ticket) and $ y $ (the price of a 3-D ticket).

Would you like to see the solution for the system of equations or have any other questions?

### Relative Questions:
1. How do you solve a system of equations using substitution?
2. What would be the total cost if Oliver bought 2 regular tickets and 3 3-D tickets?
3. How can we verify the solution once we have values for $ x $ and $ y $?
4. What happens to the system if the difference between regular and 3-D tickets changes?
5. What is the significance of the substitution method for solving this system?

### Tip:
When solving systems of equations, substitution is often a good method if one equation is already solved for a variable, like in this case $ y = x + 2 $.

Tickets to the 3-D showing of a certain movie cost $2.00 more than tickets to the regular showing. Oliver bought five regular tickets and four 3-D tickets, and the total cost was $89. Which system of equations can be used to determine the price of a regular ticket, x, and the price of a 3-D ticket, y?

Solve a system of equations based on a movie ticket pricing problem. Learn how to use substitution to find the price of regular and 3-D movie tickets, involving key algebraic concepts. Perfect for students in Grades 7-9.

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