Question

At a basketball​ game, a team made 57 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 99 points in all. Write and solve a system of equations to find the number of each type of shot. 40 POINTS

Answer 1

Answer:

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

Step-by-step explanation:

Let

x ----> the number of 1-point shots

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

we know that

$x+y=57$ ----> equation A

$x+2y=99$ ----> 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)

see the attached figure

therefore

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