SOLUTION: A basketball player scored 20 times during one game. He scored a total of 39 points, two for each two-point shot and one for each free throw. How many two-point shots did he make?

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Question 668175: A basketball player scored 20 times during one game. He scored a total of 39 points, two for each two-point shot and one for each free throw. How many two-point shots did he make? How many free throws did he make?
Answer by Adrianne15(25) About Me  (Show Source):
You can put this solution on YOUR website!
20 successful shots.
39 points.
Two points - two point shot.
One point - free throw.
Let x = number of two point shots he made, and 20-x = the number of free throws he made.
Now I'll multiply the scoring value (how many points) by the variable, making sure it equals 39.
2%28X%29%2B+1%2820-x%29+=+39
2x+%2B+20-x+=+39
x+=+39+-+20
x+=+19
Substitute x back into your expressions.
Two point shots = x
=19
Free throws = 20-x
=20-19
=1
Test:
# two point shots + # free throws (should) = 20
19 + 1 = 20
Total points should be 39.
19 x two points + 1 x one point
= 19(2) + 1(1)
=38 + 1
=39
Therefore, he made nineteen two-point shots, and one free throw.