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
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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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document.write( "Thanks! \n" );
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Algebra.Com's Answer #58365 by rapaljer(4671)![]() ![]() 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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This gives you 2M = 8.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 2: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 4.1 from each side: \n" ); document.write( "L=10.6-4.1= 6.5\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 6.5 from each side: \n" ); document.write( "S= 2.0. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to check this you can substitute the numbers into the third equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S+M=6.1+4.1 = 10.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Did this check? Yes!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " \n" ); document.write( " |