At a basketball​ game, a team made 59 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 102 points in all.

Question

At a basketball​ game, a team made

59 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored

102 points in all. Write and solve a system of equations to find the number of each type of shot.

Answer 1

F + R = 59

F+2R = 102

F + R = 59 subtract to eliminate one variable

R = 43 two pointers

F = 59-43 = 16 one pointers or free throws