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East High School scored a total of 71 points in their final basketball game of the season. The team successfully made a total of 32 baskets. The score was composed of two-point baskets and three-point baskets. The following system of equations can be used to model the number of two-point baskets, x, and the number of three-point baskets, y, that were made during the game. First, determine the point on the graph that represents the solution to the system of equations. Notice that one of the equations in the system has already been graphed. Then, determine the number of two-point baskets and three-point baskets that are made during the final basketball game of the season.

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Answer:

Step-by-step explanation:

x = 2 pointers and y = 3 pointers

x + y = 32......x = 32 - y

2x + 3y = 71

2(32 - y) + 3y = 71

64 - 2y + 3y = 71

y = 71 - 64

y = 7

x + y = 32

x + 7 = 32

x = 32 - 7

x = 25

check....

2x + 3y = 71

2(25) + 3(7) = 71

50 + 21 = 71

71 = 71 (correct)..it checks out

so the solution to this system is : (25,7)

there were 25 two points shots made and 7 three point shots made

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