Linear Algebra System Basic Proof
Given a system of the form
mx + y = c
nx + y = d
where c, d, m and n are constants:
A. Show that the system will have a unique solution if m does not equal n.
B. If m = n, show the system will only be consistent if c = d.
C. Give a geometric interpretation of parts A and B
I have no idea where to begin with that. I tried using elementary row operations on the augmented matrix, but I couldn't gather anything from it and I fear I may have done it incorrectly.
Any help would be greatly appreciated.