document.write( "Question 888908: In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from the field goal. \r
\n" ); document.write( "\n" ); document.write( "Part A: Let x represent the number of two-point field goals and y represent the number of three-point field goals. Write a system of equations in terms of x and y to model the situation. \r
\n" ); document.write( "\n" ); document.write( "Part B: How many three-point field goals did Marlene make in the game? \n" ); document.write( "
Algebra.Com's Answer #537748 by nerdybill(7384)\"\" \"About 
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In a basketball game, Marlene made 16 field goals. Each of the field goals were worth either 2 points or 3 points, and Marlene scored a total of 39 points from the field goal. \r
\n" ); document.write( "\n" ); document.write( "Part A: Let x represent the number of two-point field goals and y represent the number of three-point field goals. Write a system of equations in terms of x and y to model the situation.
\n" ); document.write( ".
\n" ); document.write( "x+y = 16 (equation 1)
\n" ); document.write( "2x+3y = 39 (equation 2)
\n" ); document.write( ".
\n" ); document.write( "Part B: How many three-point field goals did Marlene make in the game?
\n" ); document.write( ".
\n" ); document.write( "solve equation 1 for x:
\n" ); document.write( "x+y = 16
\n" ); document.write( "x = 16-y
\n" ); document.write( "substitute above into equation 2:
\n" ); document.write( "2x+3y = 39
\n" ); document.write( "2(16-y)+3y = 39
\n" ); document.write( "32-2y+3y = 39
\n" ); document.write( "32+y = 39
\n" ); document.write( "y = 7 (number of three-point goals) \n" ); document.write( "
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