A team made 53 successful shots. They were a combination of 1- and 2- point shots. The team scored 88 points in all. What's the number of each type of shot?

the team scored 18 (1 - point shot) and 35 (2 - point shots).

Step-by-step explanation:

Let x represent the the number of

1- point shot that the team made.

Let y represent the the number of

2- points shot that the team made.

The team made 53 successful shots. They were a combination of 1- and 2- point shots. This means that

x + y = 53

The team scored 88 points in all. This means that

x + 2y = 88- - - - - - - - - - - -1

Substituting x = 53 - y into equation 1, it becomes

53 - y + 2y = 88

- y + 2y = 88 - 53

y = 35

x = 53 - y = 53 - 35

x = 18