Question

A basketball player scored 18 times during one game. He scored a total of 35 points, two for each two point shot and one. For each free throw. How many two point shots did he make? How many free throws?

Answer 1

If there were x 2-pointers and y free throws, then we know

x+y = 18 (add the shots)
2x+y = 35 (add the points)

Now just solve for x and y.

Answer 2

(10,12)