Answer: 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
