Question

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Answer 1

Answer:

x=31

y=6

Step-by-step explanation:

2x+3y=80

x+y=37

solve by elimination:( multiply second equation by 2) to eliminate x

2x+3y=80

2x+2y=74

subtract the two equations:

2x+3y-(3x+2y)=80-74

2x+3y-3x-2y=6

y=6 (3 point basket)

substitute: x+y=37, x=37-6=31

x=31 (2 point shot)

Answer 2

Answer:

2 point shots: 31

3 point shots: 6

Step-by-step explanation:

to get the 3 point shots:

2x+3(37-x)=80

2x+111-3x=80

x=31

31+y=37

y=6 --> 3 point shot

to get the 2 point shots:

2(37-y)+3y=80

74-2y+3y=80

y=6

x+6=37

x=31 --> 2 point shot