document.write( "Question 288416: in a basketball game, adam made 19 baskets, some 2-point shots and some 3-points shots, for a total of 40 point. how many 3-points baskets did he make \n" ); document.write( "
Algebra.Com's Answer #209062 by jaydducote(11)\"\" \"About 
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You have to make a system of equations.
\n" ); document.write( "Let's make x=number of two pointers and y=number of threes
\n" ); document.write( "We know he made 19 shots, so x+y=19
\n" ); document.write( "We also know he scored 40 points, so 2X+3y=40. We know this because of two points and three points for each type of basket. Nowe we need to find a way to combine equations. Since the problem asks for how man 3-point baskets he made, we want to solve for y. This means that we first need to get x in terms of y. Take the first equation and solve for x;
\n" ); document.write( "x+y=19
\n" ); document.write( "subtract y from both sides
\n" ); document.write( "x=19-y
\n" ); document.write( "now substitute that value for x in the second equation:
\n" ); document.write( "2x+3y=40
\n" ); document.write( "2(19-y)+3y=40
\n" ); document.write( "distribute the 2
\n" ); document.write( "38-2y+3y=40
\n" ); document.write( "combine like terms
\n" ); document.write( "38+y=40
\n" ); document.write( "subtract 38 from both sides
\n" ); document.write( "y=2
\n" ); document.write( "Adam made 2 three-point baskets. \n" ); document.write( "
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