SOLUTION: Angel scored a total of 80 points in a basketball game against Jason. Angel made a total of 37 two-point and three-point baskets. How many two-point shots did Angel make? How many

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Question 1149548: Angel scored a total of 80 points in a basketball game against Jason. Angel made a total of 37 two-point
and three-point baskets. How many two-point shots did Angel make? How many three-point shots did he make?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the number of two-point baskets and y be the number of 3-point baskets
:
(1) x + y = 37
:
(2) 2x +3y = 80
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solve equation 1 for x and substitute in equation 2
:
x = 37 -y
:
2(37-y) +3y = 80
:
74 -2y +3y = 80
:
y = 80 -74 = 6
:
x = 37 -6 = 31
:
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Angel made 31 two-point baskets and 6 three-point baskets
:
check answer by substituting x and y values in equation 2
:
2(31) +3(6) = 80
:
62 +18 = 80
:
80 = 80
:
answer checks
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