document.write( "Question 51887: problem solving using two variables.
\n" ); document.write( "The sum of two integers is 51.The larger integer is 3 more than twice the smaller integer.Find the integers? \n" ); document.write( "
Algebra.Com's Answer #34599 by AnlytcPhil(1806)\"\" \"About 
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problem solving using two variables.\r\n" );
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document.write( "The sum of two integers is 51.\r\n" );
document.write( "The larger integer is 3 more than twice the smaller \r\n" );
document.write( "integer.\r\n" );
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document.write( "Let the larger integer be x\r\n" );
document.write( "Let the smaller integer bw y\r\n" );
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document.write( "Replace the words \"The sum of two integers\" by x + y\r\n" );
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document.write( "So now we have \r\n" );
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document.write( "x + y is 51.\r\n" );
document.write( "The larger integer is 3 more than twice the smaller \r\n" );
document.write( "integer.\r\n" );
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document.write( "Replace \"is by an equal sign \" = \".\r\n" );
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document.write( "Now we have\r\n" );
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document.write( "x + y = 51.\r\n" );
document.write( "The larger integer is 3 more than twice the smaller \r\n" );
document.write( "integer.\r\n" );
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document.write( "Replace the words \"The larger integer\" by \" x \"\r\n" );
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document.write( "Now we have\r\n" );
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document.write( "x + y = 51.\r\n" );
document.write( "x is 3 more than twice the smaller integer.\r\n" );
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document.write( "Replace the word \"is by \" = +\r\n" );
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document.write( "x + y = 51.\r\n" );
document.write( "x = 3 more than twice the smaller integer.\r\n" );
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document.write( "Replace the words \"twice the smaller integer\" by \" 2y \".\r\n" );
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document.write( "Now we have\r\n" );
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document.write( "x + y = 51.\r\n" );
document.write( "x = 3 more than 2y\r\n" );
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document.write( "To get \"3 more than something\" write down the \"something\"\r\n" );
document.write( "and then add 3 to it.  So we replace \"3 more than 2y\" by\r\n" );
document.write( "\"2y with 3 added to it\", or rather \"2y + 3\".\r\n" );
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document.write( "x + y = 51\r\n" );
document.write( "x = 2y + 3\r\n" );
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document.write( "Can you solve that system of equations?  If not post\r\n" );
document.write( "again.  Answer x = 35, y = 16\r\n" );
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document.write( "That checks because\r\n" );
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document.write( "The sum of 35 and 16 is 51, and\r\n" );
document.write( "35 is 3 more than 32, which is twice 16.\r\n" );
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document.write( "Edwin
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