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

Algebra ->  Equations -> 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      Log On


   



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) About Me  (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
b+%2B+f+=+5
2b+%2B+f+=+7
You can use substitution or elimination to solve.
Using elimination to subtract the second equation form the first
b+%2B+f+=+5
2b+%2B+f+=+7
---------------
-b+%2B+0+=+-2
-b+=+-2
b+=+2 so he scored 2 baskets.
That means he must has scored 3 free throws