Let's define two variables to represent the number of two-point and three-point shots Brandon made:

• Let $x$ represent the number of two-point shots.
• Let $y$ represent the number of three-point shots.

Based on the problem, we can create the following system of equations:

1. Total points equation: Each two-point shot contributes 2 points, and each three-point shot contributes 3 points. Since Brandon scored a total of 16 points, we can write: $2x + 3y = 16$

2. Relationship between the number of shots: It is stated that Brandon made twice as many three-point shots as two-point shots, so: $y = 2x$

System of equations:

2x + 3y = 16 \\ y = 2x \end{cases}$$ This system can now be solved to find the number of two-point shots and three-point shots Brandon made. Do you want me to solve the system for you? Let me know if you have any questions! Here are some related questions for further practice: 1. What if Brandon made three times as many three-point shots as two-point shots and scored 20 points? 2. How many two-point shots and three-point shots would Brandon need to make if he scored 22 points instead? 3. If Brandon made 5 two-point shots and 4 three-point shots, what would be his total score? 4. How would the system change if he scored 18 points instead but still made twice as many three-point shots? 5. What happens to the system if Brandon scored 24 points and made equal numbers of two-point and three-point shots? **Tip:** When solving systems of equations, substitution or elimination methods are useful. Try substituting one variable into the other equation if one variable is already expressed in terms of the other.