Question

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

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)