document.write( "Question 1100722: Why would we divide by two in this problem, the sum of two numbers is 13. Their difference is 3. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #715246 by ikleyn(52921) $\"\"$ $\"About$

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document.write( "The condition says\r\n" );
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document.write( "x + y = 13,\r\n" );
document.write( "x - y =  3.\r\n" );
document.write( "------------------- Add the two equations (both sides).  \"y\" will cancel, and you will get\r\n" );
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document.write( "2x = 13 + 3,\r\n" );
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document.write( "which implies\r\n" );
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document.write( "x =  =  = 8.\r\n" );
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document.write( "THIS IS WHY WE DIVIDE BY 2.\r\n" );
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