Answer: C.

Step-by-step explanation:
Given: The system
has the solution (1,3), where M,N,P,R,S and T are non zero real numbers.
A.

Divide 7 on both sides on the second equation , we will get

Thus, this system has solution (1,3)
B.

Subtract equation (2) from equation (1), we get

Thus, this system has solution (1,3)
C.

We can rewrite the equation (2) as

Multiply 2 on both sides of equation (1), we get

Subtract equation (3) from (4), we get

But 
Thus, this system does not have solution as (1,3).
D.

Multiply 2 on both sides on the first equation , we will get
Thus, this system has solution (1,3)