Question

At a basketball​ game, a team made 57 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 94 points in all. Write and solve a system of equations to find the number of each type of shot.

Answer 1

The number of 1-point shots is 15 and the number of 2-point shots is 42

Step-by-step explanation: x ----> the number of 1-point shots

y ----> the number of 2-point shots

we know that

----> equation A

----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The intersection point is (15,42)

therefore

The number of 1-point shots is 15 and the number of 2-point shots is 42