document.write( "Question 1017204: The cost for three packages of moving boxes is modeled by the system of equations below. Let s represent small boxes, m represent medium boxes, and l represent large boxes. Which ordered pair (s, m, l) represents the costs of the three boxes?\r
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document.write( "7s+4m+2l=24
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document.write( "5s+3m+6l=30
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document.write( "3s+7m+10l=46 \n" );
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Algebra.Com's Answer #633555 by stanbon(75887) ![]() You can put this solution on YOUR website! 7s+4m+2t =24 \n" ); document.write( "5s+3m+6t =30 \n" ); document.write( "3s+7m+10t=46 \n" ); document.write( "----------- \n" ); document.write( "Subtract 2 times the 3rd row from row 1 to get: \n" ); document.write( "s - 10m - 18t = -68 \n" ); document.write( "5s+3m+6t =30 \n" ); document.write( "3s+7m+10t=46 \n" ); document.write( "----- \n" ); document.write( "Subtract 5 times the 1st row from the 2nd row \n" ); document.write( "Subtract 3 times the 1st row from the 3rd row \n" ); document.write( "------ \n" ); document.write( "s - 10m - 18t = -68 \n" ); document.write( "0s + 53m + 96t = 370 \n" ); document.write( "0s + 37m + 64t = 250 \n" ); document.write( "--------------------------- \n" ); document.write( "Multiply thru 2nd row by 37 \n" ); document.write( "Multiply thru 3rd row by 53 \n" ); document.write( "------------------------------- \n" ); document.write( " s - 10m - 18t = -68 \n" ); document.write( "0s + 1961m + 3552t = 13690 \n" ); document.write( "0s + 1961m + 33924m = 13250 \n" ); document.write( "----------------------- \n" ); document.write( "Subtract 2nd row from 3rd to get:: \n" ); document.write( " s - 10m - 18t = -68 \n" ); document.write( "0s + 1961m + 3552t = 13690 \n" ); document.write( "0s + 0m - 160t = -440 \n" ); document.write( "-------------- \n" ); document.write( "Solve the 3rd row for \"m\":: \n" ); document.write( " s - 10m - 16t = -68 \n" ); document.write( "0s + 1961m + 3182t = 13690 \n" ); document.write( "0s + 0m + t = 2.75 \n" ); document.write( "------------------ \n" ); document.write( "Substitute for \"t\" in row 2 and solve for \"m\":: m = 2 \n" ); document.write( "Substitute for \"t\" and for \"m\" in row 1 and solve for \"s\":: s = 1.5 \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |