a basketball player scored 17 timea during one game. He scored a total of 28 pts,two for each two-pt shot and one for each free throw. How many two-pt shots did he make? How many free throws?

How many two-pt shots did he make? simplify

let x = 2-pt shots and y = free throws

x + y = 17, therefore x = 17-y

2x + y = 28

Substitute 17-y for x in second equation and solve for y. Insert that value into the first equation and solve for x. Check by inserting both values into the second equation.

To determine the number of two-point shots the basketball player made, divide the total number of points scored (28) by two since each two-point shot is worth two points. This can be represented as: 28 / 2 = 14 two-point shots.

Now let's calculate the number of free throws. We know that the player made a total of 17 baskets during the game, and we've already accounted for the 14 two-point shots. Therefore, the remaining 3 baskets must be free throws.

In summary:
- The basketball player made 14 two-point shots.
- The basketball player made 3 free throws.