Question

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.

Answer 1

w = 8, y = 4.

Explanation:

i think this is right i am not sure

Answer 2

`x = 8 \\ y = 4`

Explanation:

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

We have

`x + y = 12 \\ y = 12 - x`

And

`x + 2y = 16`

Substituting the first equation in we get

`x + 2(12 - x) = 16 \\ x + 24 - 2x = 16 \\ - x = - 8 \\ x = 8`

Since

`y = 12 - x \\ y = 12 - 8 = 4`