Diophantine Equationseasy
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Bezout's Identity states that if aa and bb are integers with gcd(a,b)=d\gcd(a, b) = d, then there exist integers xx and yy such that ax+by=dax + by = d. For a=17a = 17 and b=5b = 5, we have gcd(17,5)=1\gcd(17, 5) = 1. Which of the following pairs (x,y)(x, y) is/are valid pairs of Bezout coefficients satisfying 17x+5y=117x + 5y = 1?