document.write( "Question 577822: The Lakers scored 43 points on a combination of 20 two point baskets and three point baskets. How many shots of each type were made?\r
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document.write( "use x to represent two point baskets and y to rpresent three point baskets. Write an equation that ilustrates the total number of baskets made during the game.\r
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document.write( "Write an equation that illustrates how many points total were made during the game.\r
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document.write( "Use the equations from to solve this exercise as a system of equations. Use substitution or elimination to determine how many shots of each type were made. \n" );
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Algebra.Com's Answer #370330 by dfrazzetto(283)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "x+y=20\r \n" ); document.write( "\n" ); document.write( "2x+3y=43 multiply top equation by -2\r \n" ); document.write( "\n" ); document.write( "-2x+-2y = -40 \n" ); document.write( " 2x+ 3y = 43 \n" ); document.write( "------------------ \n" ); document.write( " y = 3\r \n" ); document.write( "\n" ); document.write( "x+y=20 \n" ); document.write( "x+3=20 \n" ); document.write( "x=20-3 = 17\r \n" ); document.write( "\n" ); document.write( "So, 17 two point baskets and 3 three point baskets\r \n" ); document.write( "\n" ); document.write( "CHECK:\r \n" ); document.write( "\n" ); document.write( "x=17, y=3\r \n" ); document.write( "\n" ); document.write( "2x+3y=43 \n" ); document.write( "2(17)+3(3) = 43 \n" ); document.write( "34 + 9 = 43 \n" ); document.write( "43=43 √\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |