SOLUTION: how to tell if a system is independent, dependent or inconsistent?

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Question 395310: how to tell if a system is independent, dependent or inconsistent?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how to tell if a system is
independent:::
lines meet in one point
----
slopes are different
----
one solution point
==============
dependent
slopes are the same; intercepts are the same
---
each equation is a multiple of the other
----
infinite number of solutions
=========================================
inconsistent?
lines are parallel
---
slopes are equal but intercepts are not
---
no solutions.
=========================
Cheers,
Stan H.

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