document.write( "Question 887278: The sum of two positive integers is a maximum of 20. The larger integer is 8 more than 3 times the smaller integer.Determine the possible values for the larger integer?
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Algebra.Com's Answer #536495 by Theo(13342) $\"\"$ $\"About$

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x + y <= 20
\n" ); document.write( "y = 3x + 8
\n" ); document.write( "replace y with 3x + 8 in the first equation to get x + 3x + 8 <= 20
\n" ); document.write( "simplify to get 4x + 8 <= 20
\n" ); document.write( "subtract 8 from both sides of this equation to get 4x <= 12
\n" ); document.write( "divide both sides of this equation by 4 to get x <= 3
\n" ); document.write( "the smaller number is less than or equal to 3
\n" ); document.write( "the possible values for the smaller number are 1,2,3
\n" ); document.write( "when x = 1,2,3, y would take on the following values:
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document.write( "         x         y = 3x + 8         sum of x and y\r\n" );
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document.write( "         1             11                  12\r\n" );
document.write( "         2             14                  16\r\n" );
document.write( "         3             17                  20\r\n" );
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\n" ); document.write( "the possible values for the larger integer are 11, 14, 17.\r
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