Question

At a basketball​ game, a team made 51 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 82 points in all. Write and solve a system of equations to find the number of each type of shot.
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Part 1
There were
  
enter your response here ​2-point shots and
  
enter your response here ​1-point shots.

Answer 1

Let x = number of 2-point shots and y = number of 1-point shots.

System:
x + y = 51
2x + y = 82

Subtract the first equation from the second: x = 31. Then y = 51 − 31 = 20.

There were 31 two-point shots and 20 one-point shots.