Which of the following statements about the linear Diophantine equation $3x + 7y = 11$ is/are true?

(I) The equation has infinitely many integer solutions. (II) If $(x_0, y_0)$ is a particular solution, then the general solution is $x = x_0 + 7t$, $y = y_0 - 3t$ for all integers $t$. (III) The equation $3x + 7y = 10$ has no integer solutions.