SOLUTION: UMUM ? WHAT IS THE DEFINiTION OF CONSISTENT INDEPENDENT SYSTEM ? ? ?

Question 259851: UMUM ? WHAT IS THE DEFINiTION OF CONSISTENT INDEPENDENT SYSTEM ? ? ?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Umum!!
Why are you shouting?
What is a consistent system ?
and what is an independent system?
I bet those terms are in the glossary of your book?
If the two equations describe lines that intersect once, the system is independent and consistent.
Also
If the two equations describe the same line, and thus lines that intersect an infinite number of times, the system is dependent and consistent.

If the two equations describe parallel lines, and thus lines that do not intersect, the system is independent and inconsistent.

Warning ! Definitions coming
Thus, a system is consistent if it has one or more solutions.
Hint: inconsistent no solutions
A system of two equations is dependent if all solutions to one equation are also solutions to the other equation.
Same line is dependent .
If not the same line independent

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