SOLUTION: A BASKETBALL PLAYER SCORED 5 TIMES DURING ONE GAME. HE SCORED A TOTAL OF 7 POINTS, 2 FOR EACH FIELD GOAL AND 1 FOR EACH FREE THROW. HOW MANY FIELD GOALS DID HE MAKE AND HOW MANY FR

Question 668979: A BASKETBALL PLAYER SCORED 5 TIMES DURING ONE GAME. HE SCORED A TOTAL OF 7 POINTS, 2 FOR EACH FIELD GOAL AND 1 FOR EACH FREE THROW. HOW MANY FIELD GOALS DID HE MAKE AND HOW MANY FREE THROWS?
USE (X,Y)
_=5
_=7
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let b be the baskets (field goals) and f be the free throws. You are told
baskets arew worth 2 points, free throws are worth 1 point. He scored a total of 7 points with a total of 5 shots. So

You can use substitution or elimination to solve.
Using elimination to subtract the second equation form the first

---------------

so he scored 2 baskets.
That means he must has scored 3 free throws

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