document.write( "Question 618737: Find all solutions in positive integers for x an y in which both x and y are less than 20 and 5x - 3y = 31.
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Algebra.Com's Answer #389074 by ewatrrr(24785)\"\" \"About 
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document.write( "Hi,
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document.write( "Find all solutions in positive integers for x an y in which both x and y are less than 20:
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document.write( "5x - 3y = 31.
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document.write( "Diophantine Equation 
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document.write( "x = xo + pt
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document.write( "y = yo - qt
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document.write( "By trial and error (8,3) is one solution
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document.write( "x = 8 + pt
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document.write( "y = 3 - qt
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document.write( "As GCD of 5 and 3  is 1, therefore:
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document.write( "x = 8 + -3t
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document.write( "y = 3 - 5t\r
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document.write( "x = 8 -3t
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document.write( "y = 3 - 5t
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document.write( "t	x	y
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document.write( "0	8	3
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document.write( "-1	11	8
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document.write( "-2	14	13
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document.write( "-3	17	18
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