SOLUTION: Solving a system of equations problem: Tommy made 18 shots in the basketball game last night vs. Liberty High School. He scored a total of 42 points. How many 2-point and 3-point

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Question 1159405: Solving a system of equations problem: Tommy made 18 shots in the basketball game last night vs. Liberty High School. He scored a total of 42
points. How many 2-point and 3-point baskets did he make?
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

x 3-point shots and (18-x) 2-point shots.


Total points equation


    3x + 2*(18-x) = 42   points.


Simplify and find x


    3x + 36 - 2x = 42

    3x - 2x      = 42 - 36

     x           = 6.


ANSWER.  6 3-point shots and the rest, 18-6 = 12 2-point shots.


CHECK.  6*3 + 2*12 = 18 + 24 = 42 total points.    ! Precisely correct !

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The problem is just solved.

and the last thing for you to do is to post your "THANKS" to me.