a team made 59 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 103 points in all. solve a system of equations to find the number of each type of shot.

Question

At a basketball​ game, a team made 59 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 103 points in all. Write and solve a system of equations to find the number of each type of shot.

Answer 1

x+y=59

x+2y = 103

subtract 1st equation from the 2nd to get

y = 44 two point shots

x = 59-44= 15 one point shots

15+2(44) = 15 + 88 = 103 total points