zero
1
2
Infinite
Answer is Right!
Answer is Wrong!
The correct answer is $\boxed{\text{C}}$.
To solve for $x$, we can subtract the two equations to get $0 = 3x$. Dividing both sides by 3, we get $x = 0$.
Substituting $x = 0$ into either of the original equations, we get $y = 3(0) + 3 = 3$. Therefore, the only solution is $(x, y) = (0, 3)$.
Option A is incorrect because there is at least one solution. Option B is incorrect because there are two solutions. Option D is incorrect because there are not infinitely many solutions.