document.write( "Question 26111: Directions: Write a system of equations that can be used to solve the problem. Then solve the system and determine the answer:\r
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document.write( "The University of Tennesee women's basketball team made 45 field goals in a recent game; some were 2-pointers and some were 3-pointers. How many 2-point baskets were made and how many 3-point baskets were made if Tennessee scored 101 points? \n" );
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Algebra.Com's Answer #14037 by Paul(988)![]() ![]() ![]() You can put this solution on YOUR website! Let the 3-pointer game be x \n" ); document.write( "Let the 2-pointer game be y \n" ); document.write( "x+y=45 (solve for y) \n" ); document.write( "y=45-x (subsitution)\r \n" ); document.write( "\n" ); document.write( "Now:2 pointers plus 3pointers = 101 points So,. \n" ); document.write( "2y+3x=101 \n" ); document.write( "Subsitute) \n" ); document.write( "2(45-x)+3x=101 \n" ); document.write( "90-2x+3x=101 \n" ); document.write( "x=101-90 \n" ); document.write( "x=11 \n" ); document.write( "y=45-11 \n" ); document.write( "y=34\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, about 34 2-pointers were played and about 11 3-pointers were played. \n" ); document.write( "Paul. \n" ); document.write( " |