Question

Amelia was showing off her basketball skills. She scored a total of 14 shots for a total of 32 points. How many 2 point and 3 point shots did she make?

Answer 1

Explanation:

x+y=14

y=14-x

2x+3y=32, using y=14-x we have

2x+3(14-x)=32

2x+42-3x=32

-x+42=32

-x=-10

x=10, and since y=14-x

y=14-10=4

So Amelia made 10 two-pointers and 4 three-pointers.