At a basketball​ game, a team made 55 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 92 points in all. Write and solve a system of equations to find the number of each type of shot.

There were 18 one point shots and 37 two point shots.

Step-by-step explanation:

Let the number of one point shots be x and the number of two point shots be y .

So we have the system:

x + y = 55

x + 2y = 92

Subtract the first equation from the second, we get:

0 + y = 92 - 55 = 37.  

y = 37.

From equation 1 we have x = 55 - y

therefore x = 55 - 37 = 18.