Question 618734
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Hi,
Find all solutions (x,y) in positive integers to:
13x + 14y = 2008
x = xo + pt
y = yo - qt
(134,19) one solution
x = 134 + pt
y = 19 - qt
As GCD of 13 and 14 is 1, therefore:
x = 134 + 14t
y =  19 - 13t