Louie Dampier is the leading scorer in the history of the ABA. His 13,726 points were scored on two point baskets, three point baskets, and one point free throws. In his ABA career, Dampier made 2,144 more two point baskets than free throws and 1,558 more free throws than three point baskets. What system of equations could be used to find how many three point baskets, two point baskets, and free throws he made? How many three point baskets did Dampier make?

Louie Dampier made 794 three-point baskets, 4496 two-point-baskets, and 2352 free throws.

Step-by-step explanation:

Let x,y, and z be the numbers of 3 point basket, 2 point basket, and one point free throws respectively.

The total points he scored is 13,726,

As Dampier made 2,144 more two-point baskets than free throws,

He also made 1,558 more free throws than three-point baskets,

Now, putting the values of equations (ii) and (iii) in the equation (i), we have

From equation (ii),

y=2352+2144=4496

From equation (iii),

x=2352-1558=794.

Hence he made 794 three-point baskets, 4496 two-point-baskets and, 2352 free throws.

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

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