document.write( "Question 1122057: The sum of two numbers is equal to 77. The first number is multiplied by 8 and the
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Algebra.Com's Answer #738095 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "x + y = 77     (1)\r\n" );
document.write( "8x = 6y        (2)\r\n" );
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document.write( "From the first equation, express y = 77-x  and substitute it into equation (2)\r\n" );
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document.write( "8x = 6*(77-x),\r\n" );
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document.write( "8x = 6*77 - 6x\r\n" );
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document.write( "8x + 6x = 6*77\r\n" );
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document.write( "14x = 6*77  ====>  x =  = 33.\r\n" );
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document.write( "Then y = 77 - 33 = 44.\r\n" );
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document.write( "Answer.  The larger number is 44.\r\n" );
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