The Lions basketball team uses a rating system to rank players. They value each free throw for 1 point and each 3-pointer for 3 points. John earned 100 points the day that he shot a total of 60 free throws and 3-pointers combined. Let x equal free throws and y equal 3-pointers. How many of each shot did he make?

Step-by-step explanation:

Let x represent free throws while y represents 3-pointer. Gives a simalteous equation.

x +y = 60 1

x +3y = 100 2

From equation 1

x +y = 60

x = 60-y3

Put equation 3 into 2

x +3y = 100

60-y+3y = 100

-y+3y= 100-60

2y = 40

Divide both sides by 2

2y/2 = 40/2

y = 20

Put the value of y in equation 1

x +y = 60

x + 20 = 60

x = 60-20

x = 40

From the above figure, John has shot 40x (free throws) to gain 40 points and also has shot 20y (three pointers) to gain 60 points

x = 40

Step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .