document.write( "Question 1043118: the sum of two whole number is 45 and their difference is less than 10. the number of all possible pair is
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Algebra.Com's Answer #658199 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "You are given a system, consisting of one equation and one inequality\r\n" );
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document.write( "    x + y = 45    (1)\r\n" );
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document.write( "    x - y < 10    (2)\r\n" );
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document.write( "Let solve the problem graphically to make the solution visible.\r\n" );
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document.write( "The figure below shows the line  x + y = 45  (red line)  and line y = x - 10 (green line).\r\n" );
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document.write( "The solution set for the system (1), (2) is the set of integer points on the red line, that are ABOVE the green line.\r\n" );
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document.write( "    \r\n" );
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document.write( "     Plot x + y = 45 (red),  y = x -10 (green)\r\n" );
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document.write( "You can calculate these points manually.\r\n" );
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document.write( "Their number is  (a)  28, if the zero is admitted for x as a whole number,\r\n" );
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document.write( "             or  (b)  27, if the zero is NOT admitted for x as a whole number.\r\n" );
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document.write( "The set of solutions is  (0,45), (1,44), (2,43), (3,42), . . . , (27,18) in case (a)  (28 pairs)\r\n" );
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document.write( "                     or          (1,44), (2,43), (3,42), . . . , (27,18) in case (b)  (27 pairs)\r\n" );
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