SOLUTION: A basketball player scored 24 times during one game, She scored a total of 43 points, two for each two-point shot and one for each free throw. How many two-point shots did she mak

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Question 925235: A basketball player scored 24 times during one game, She scored a total of 43 points, two for each two-point shot and one for each free throw. How many two-point shots did she make? How many free throws?
Answer by ptfile(81) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = two-point shot
y = free throw
A basketball player scored 24 times during one game, She scored a total of 43 points,two for each two-point shot and one for each free throw.
2x+y=43
x+y=24
2x+y=43
-x-y=-24
x=19
Substitute x for 19
19+y=24
y=5
She makes 19 two-point shot and 5 free throws.
Check
2(19)+5 = 43
38+5 = 43
43 = 43