When you solve a system of equations by the substitution method, how do you determine whether the system of equations is dependent?

Question

If your variables disappear as you simplify, and you end up with
0=0 (or k=k) the system is dependent.
(really just the same line, one equation is a multiple of the other)

If your variables disappear as you simplify, and you end up with
0=k (or c=k) the system is inconsistent
(Really just two parallel lines)