Find the general solution for the Diophantine equation 3x+5y=13x + 5y = 13x+5y=1.
x=2+5k,y=−1−3kx = 2 + 5k, y = -1 - 3kx=2+5k,y=−1−3k
x=2−5k,y=−1+3kx = 2 - 5k, y = -1 + 3kx=2−5k,y=−1+3k
x=3+5k,y=−2−3kx = 3 + 5k, y = -2 - 3kx=3+5k,y=−2−3k
x=5+3k,y=−3−5kx = 5 + 3k, y = -3 - 5kx=5+3k,y=−3−5k