document.write( "Question 618734: Find all solutions (x,y) in positive integers to:
\n" ); document.write( "13x + 14y = 2008\r
\n" ); document.write( "\n" ); document.write( "I know we are supposed to use the Diophantine equation but I'm not
\n" ); document.write( "comletely sure how to yet.
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Algebra.Com's Answer #389082 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "Find all solutions (x,y) in positive integers to:
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document.write( "13x + 14y = 2008
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document.write( "x = xo + pt
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document.write( "y = yo - qt
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document.write( "(134,19) one solution
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document.write( "x = 134 + pt
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document.write( "y = 19 - qt
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document.write( "As GCD of 13 and 14 is 1, therefore:
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document.write( "x = 134 + 14t
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document.write( "y =  19 - 13t
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document.write( "

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