Posted by **Nik** on Tuesday, August 14, 2007 at 6:52am.

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)

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