The general solution to 2x+5y=12x + 5y = 12x+5y=1 is x=x0+5tx = x_0 + 5tx=x0+5t, y=y0−2ty = y_0 - 2ty=y0−2t for integer ttt. Find (x0,y0)(x_0, y_0)(x0,y0).
(x0,y0)=(3,−1)(x_0, y_0) = (3, -1)(x0,y0)=(3,−1)
(x0,y0)=(−2,1)(x_0, y_0) = (-2, 1)(x0,y0)=(−2,1)
(x0,y0)=(1,−1)(x_0, y_0) = (1, -1)(x0,y0)=(1,−1)
(x0,y0)=(−3,2)(x_0, y_0) = (-3, 2)(x0,y0)=(−3,2)