Final answer:
To solve this problem, set up a system of equations based on the given information and solve for the number of two-point and three-point shots Daniel made.
Step-by-step explanation:
To solve this problem, we can set up a system of equations based on the given information. Let's call the number of two-point shots Daniel made 'x' and the number of three-point shots 'y'. From the problem, we know that he made a total of 12 two-point and three-point baskets, so we have the equation: x + y = 12. We also know that he scored a total of 26 points, so we have the equation: 2x + 3y = 26.
To solve this system of equations, we can use substitution or elimination. Let's solve it using elimination. First, we will multiply the first equation by 2, giving us: 2x + 2y = 24. Then, we can subtract this equation from the second equation to eliminate the 'x' term: (2x + 3y) - (2x + 2y) = 26 - 24. Simplifying, we get: y = 2.
Now that we know y = 2, we can substitute this value into the first equation to solve for x: x + 2 = 12. Subtracting 2 from both sides, we get: x = 10.
Therefore, Daniel made 10 two-point shots and 2 three-point shots.