document.write( "Question 1090976: The sum of two integers is 25. One less than twice the larger integer is equal to one more than four times the smaller integer. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #705421 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "x + y = 25,        (1)\r\n" );
document.write( "2x - 1 = 4y +1.    (2)\r\n" );
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document.write( "From equation (1, express u = 25-x and substitute it into equation (2).\r\n" );
document.write( "You will get a single equation for one unknown\r\n" );
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document.write( "2x - 1 = 4*(25-x) + 1.\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "2x - 1 = 100 - 4x + 1,\r\n" );
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document.write( "2x + 4x = 100 + 1 + 1,\r\n" );
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document.write( "6x = 102  ====>  x =  = 17.\r\n" );
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document.write( "Answer.  x = 17,  y = 25-17 = 8.\r\n" );
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