1. **State the problem:** We need to write a system of linear equations to model the ticket sales for a high school football game. 2. **Define variables:** Let $x$ = number of student tickets sold. Let $y$ = number of adult tickets sold. 3. **Write equations based on the problem:** - Total tickets sold: $x + y = 729$ - Total money collected: $3x + 5y = 2995$ 4. **Explain:** The first equation represents the total number of tickets sold. The second equation represents the total amount of money collected from those tickets. 5. **Final system of equations:** $$\begin{cases} x + y = 729 \\ 3x + 5y = 2995 \end{cases}$$ This system can be solved to find the number of student and adult tickets sold. **Answer:** $$\boxed{\begin{cases} x + y = 729 \\ 3x + 5y = 2995 \end{cases}}$$