document.write( "Question 1043108: Two numbers are added and the sum is s, and their difference is 1/mth of the larger. Determine the numbers. \r
\n" ); document.write( "\n" ); document.write( "Let x and y = the numbers. Let y = larger. \r
\n" ); document.write( "\n" ); document.write( "An equation provided with problem: \r
\n" ); document.write( "\n" ); document.write( "x - (s - x) = x/m. \r
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\n" ); document.write( "\n" ); document.write( "My partial attempt: \r
\n" ); document.write( "\n" ); document.write( "x + y = s \r
\n" ); document.write( "\n" ); document.write( "y - x = 1/m * y. \r
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\n" ); document.write( "\n" ); document.write( "How do I proceed ?
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Algebra.Com's Answer #658187 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"system%28x%2By=s%2Cy-x=expr%281%2Fm%29%2Ay%29\"\r\n" );
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document.write( "Solve the first equation of the system for y\r\n" );
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document.write( "\"x%2By\"\"%22%22=%22%22\"\"s%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"s-x%29\"\r\n" );
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document.write( "Now substitute (s-x) for y in the second equation of the system.\r\n" );
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document.write( "y-x=expr(1/m)*y\r\n" );
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document.write( "\"%28s-x%29-x=expr%281%2Fm%29%2A%28s-x%29\"\r\n" );
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document.write( "Multiply through by m\r\n" );
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document.write( "\"m%28s-x%29-mx=s-x\"\r\n" );
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document.write( "\"ms-mx-mx=s-x\"\r\n" );
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document.write( "\"ms-2mx=s-x\"\r\n" );
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document.write( "\"x-2mx=s-ms\"\r\n" );
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document.write( "\"x%281-2m%29=s-ms%29\"\r\n" );
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document.write( "\"x=%28s-ms%29%2F%281-2m%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"s-x%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"s-%28s-ms%29%29%2F%281-2m%29%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"%28s%281-2m%29%29%2F%281-2m%29-%28s-ms%29%2F%281-2m%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"%28s-2ms%29%2F%281-2m%29-%28s-ms%29%2F%281-2m%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"%28%28s-2ms%29-%28s-ms%29%29%2F%281-2m%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"%28s-2ms-s%2Bms%29%2F%281-2m%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"%28-ms%29%2F%281-2m%29\"\r\n" );
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document.write( "Multiply top and bottom by -1\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"%28ms%29%2F%28-1%2B2m%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"%28ms%29%2F%282m-1%29\"\r\n" );
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document.write( "Edwin
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