Answer:

Step-by-step explanation:
Given:

We need to complete this Statement.
By Solving the above equation we get;
We will take some common factor out so we will get;

Hence the Complete statement is 
For this case we have the following type of equations:
Quadratic equation:

Linear equation:

We observe that when equating the equations we have:

Rewriting we have:

We obtain a polynomial of second degree, therefore, the maximum number of solutions that we can obtain is 2.
Answer:
The greatest number of possible solutions to this system is:
c.2