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Answer:
UMBC scored 10,14 and 12 one - point free throws, two point baskets and three point baskets respectively.
Step-by-step explanation:
Let's start defining the variables.
X : ''Number of 1 - point free throws''
Y : ''Number of 2 - point baskets''
Z : ''Number of 3 - point baskets''
UMBC scored a total of 74 points. Therefore,
(I)
Where X.1 represents the total points from 1 - point free throws.
Where Y.2 represents the total points from 2 - point baskets.
And finally Z.3 represents the total points from 3 - point baskets.
Reading the exercise, we can write two more equations :
Let's write Y and X in terms of Z
(II)
⇒
(III)
Replacing (II) and (III) in (I) :
We find that the variable Z is 12. Replacing this value in (II) and (III) ⇒
Finally, UMBC scored 10 baskets from 1 - point free throws,14 baskets from of 2 - point and 12 baskets of 3 - point.
We can verify by replacing X = 10 , Y = 14 and Z = 12 in equation (I) :