document.write( "Question 310666: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.\r
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document.write( "In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 shots. How many shots of each type did he make? \n" );
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Algebra.Com's Answer #222238 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. \n" ); document.write( " He made a total of 11 shots. How many shots of each type did he make? \n" ); document.write( ": \n" ); document.write( "Let x = 3 pt shots \n" ); document.write( "Let y = 2 pt shots \n" ); document.write( ": \n" ); document.write( "\"He made a total of 11 shots,\" the equation for this: \n" ); document.write( "x + y = 11 \n" ); document.write( ": \n" ); document.write( "\"Will scored 26 points, consisting only of three-point shots and two-point shots.\" \n" ); document.write( "Equation for this statement: \n" ); document.write( "3x + 2y = 26 \n" ); document.write( ": \n" ); document.write( "We will use elimination, multiply the 1st eq by 2, subtract from the 2nd eq \n" ); document.write( "3x + 2y = 26 \n" ); document.write( "2x + 2y = 22 \n" ); document.write( "---------------subtraction eliminates y, find x \n" ); document.write( "x = 4 ea 3pt shots \n" ); document.write( ": \n" ); document.write( "Then obviously \n" ); document.write( "y = 7 ea 2 point shots \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution: 4(3) + 7(2) = 26 \n" ); document.write( " |