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, w, and the number
of two point shots made, y.
It need to be graphed

w = 8, y = 4.

Step-by-step explanation:

Ok, w represents the number of free throws made (1 point each)

      y represents the number of two-point shots made (2 points each)

Then we have the next relations:

Angel made a total of 12 shots, this is written as:

w + y = 12

He made a total of 16 points, this is written as:

w*1 + y*2 = 16

Then the system of equations is:

w + y = 12

w + 2*y = 16

First, we could write both equations in slope-intercept form, by isolating y in the left side.

y = 12 - w

y = (16 - w)/2 = 8 - (1/2)*w

Now we can graph both of these lines, and see in which point they intersect, the graph is shown below.

Where the green line is the first equation, and the blue line is the second equation.

In the graph, we can see that the lines intersect at the point w = 8, y = 4

Then the solution is the point (8, 4)

This means that Angel made 8 free throws and 4 two-points.

ye

step-by-step explanation: