Answer:
11 2 point and 6 3 point baskets
Explanation:
Let x be the number of 2-point baskets the basketball player made, and let y be the number of 3-point baskets. We know that the player made a total of 17 shots, so x + y = 17. We also know that the player scored 40 points, and each 2-point basket is worth 2 points and each 3-point basket is worth 3 points, so 2x + 3y = 40.
We can solve this system of equations using substitution. From the first equation, x = 17 - y. Substituting this expression for x into the second equation, we get 2(17 - y) + 3y = 40. Expanding the left side, we get 34 - 2y + 3y = 40. Simplifying, we get y = 6.
Substituting this value for y back into the first equation, we get x = 17 - 6 = 11. Therefore, the basketball player made 11 2-point baskets and 6 3-point baskets.