Answer
We can see that the highest degree of $x$ in the given system of equations is $2$.
This implies that the number of solutions cannot be more than the the highest degree. So, the system cannot have more than two solutions.
Work Step by Step
We can see that the highest degree of $x$ in the given system of equations is $2$.
This implies that the number of solutions cannot be more than the the highest degree. So, the system cannot have more than two solutions.