Use the extended Euclidean algorithm to find integers x,yx, yx,y satisfying 7x+5y=17x + 5y = 17x+5y=1.
(x,y)=(3,−4)(x, y) = (3, -4)(x,y)=(3,−4)
(x,y)=(−2,3)(x, y) = (-2, 3)(x,y)=(−2,3)
(x,y)=(2,−3)(x, y) = (2, -3)(x,y)=(2,−3)
(x,y)=(−3,4)(x, y) = (-3, 4)(x,y)=(−3,4)