document.write( "Question 367744: The sum of two numbers is eleven. The sum of the squares of the two numbers is sixty-five. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #262130 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Solve the first one for y\r\n" );
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document.write( "Substitute  for y in the second:\r\n" );
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document.write( "Simplify and get 0 on the right side\r\n" );
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document.write( "Divide every term by 2\r\n" );
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document.write( "Factor the left side:\r\n" );
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document.write( "Us the zero-factor principle:\r\n" );
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document.write( "x - 7 = 0          x - 4 = 0\r\n" );
document.write( "    x = 7              x = 4\r\n" );
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document.write( "Substitute in \r\n" );
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document.write( "y = 11 - x\r\n" );
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document.write( "If x = 7, then y = 11 - 7 or 4\r\n" );
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document.write( "If x = 4, then y = 11 - 4 or 7\r\n" );
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document.write( "So the numbers are 4 and 7.\r\n" );
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document.write( "Checking 4 + 7 = 11 and 4² + 7² = 16 + 49 = 65.  So those answers \r\n" );
document.write( "are correct.\r\n" );
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document.write( "Edwin

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