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Jacob is a high school basketball player. In h particular game, he made some two point shots and some three point shots. Jacob made a total of 14 shots altogether and scored a total of 36 points. Graphically solve a system of equations in order to determine the number of two point shots made, x, and the number of three point shots made, y.

Respuesta :

Let:

x = number of two point shots made

y = number of three point shots made

Jacob made a total of 14 shots altogether, therefore:

[tex]x+y=14[/tex]

and scored a total of 36 points:

[tex]2x+3y=36[/tex]

As you can see from the graph, the solution is (x,y)=(6,8)

Therefore:

He made 6 two point shots and he made 8 three point shots

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