document.write( "Question 81531: 6th grade homework problem but not from a textbook. We have to show all work on a seperate piece of paper and it's the first time all of us have seen it.\r
\n" ); document.write( "\n" ); document.write( "Question is: If M+L=10.6 and S+L=8.5 and S+M=6.1 then what is the weight of S, M and L? \r
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Algebra.Com's Answer #58365 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
First, subtract the first two equations, noticing that the L will subtract out:\r
\n" ); document.write( "\n" ); document.write( "M+L=10.6
\n" ); document.write( "S+L=8.5 \r
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\n" ); document.write( "\n" ); document.write( "M-S = 2.1\r
\n" ); document.write( "\n" ); document.write( "Next, you can add this equation to the third equation, and look what happens:\r
\n" ); document.write( "\n" ); document.write( "M-S= 2.1
\n" ); document.write( "S+M=6.1 \r
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\n" ); document.write( "\n" ); document.write( "This gives you 2M = 8.2\r
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\n" ); document.write( "\n" ); document.write( "Divide both sides by 2:
\n" ); document.write( "\"2M=8.2\"\r
\n" ); document.write( "\n" ); document.write( "\"%282M%29%2F2+=+8.2%2F2\"
\n" ); document.write( "\"M+=+4.1\"\r
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\n" ); document.write( "\n" ); document.write( "Now, go back to the first equation, and substitute this value of M, in order to solve for L:\r
\n" ); document.write( "\n" ); document.write( "M+L=10.6
\n" ); document.write( "4.1 + L = 10.6\r
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\n" ); document.write( "\n" ); document.write( "Subtract 4.1 from each side:
\n" ); document.write( "L=10.6-4.1= 6.5\r
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\n" ); document.write( "\n" ); document.write( "Finally, substitute L into the second equation:\r
\n" ); document.write( "\n" ); document.write( "S+L=8.5
\n" ); document.write( "S + 6.5 = 8.5\r
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\n" ); document.write( "\n" ); document.write( "Subtract 6.5 from each side:
\n" ); document.write( "S= 2.0. \r
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\n" ); document.write( "\n" ); document.write( "If you want to check this you can substitute the numbers into the third equation:\r
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\n" ); document.write( "\n" ); document.write( "S+M=6.1+4.1 = 10.2\r
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\n" ); document.write( "\n" ); document.write( "Did this check? Yes!!\r
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC
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