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Angel is a high school basketball player. In a particular game, he made some free throws (worth one point each) and some two point shots. Angel made a total of 12 shots altogether and scored a total of 16 points. Graphically solve a system of equations in order to determine the number of free throws made, x,x, and the number of two point shots made, yy.

Sagot :

Answer:

w = 8, y = 4.

Step-by-step explanation:

i think this is right i am not sure

Answer:

[tex]x = 8 \\ y = 4[/tex]

Step-by-step explanation:

Let x be the number of one point shots, and y the number of two point shots.

We have

[tex]x + y = 12 \\ y = 12 - x[/tex]

And

[tex]x + 2y = 16[/tex]

Substituting the first equation in we get

[tex]x + 2(12 - x) = 16 \\ x + 24 - 2x = 16 \\ - x = - 8 \\ x = 8[/tex]

Since

[tex]y = 12 - x \\ y = 12 - 8 = 4[/tex]

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