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
\n" ); document.write( "\n" ); document.write( "7s+4m+2l=24
\n" ); document.write( "5s+3m+6l=30
\n" ); document.write( "3s+7m+10l=46
\n" ); document.write( "

Algebra.Com's Answer #633555 by stanbon(75887)\"\" \"About 
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
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\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
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\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
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\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
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\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
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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