What is an "Inconsistent System Of Equations?"

Question

anonymous · Answer

Ooh Linear Algebra terminology, fun. That is when you have a system of equations where the variables within all of them have no solution that fits all of them

anonymous · Answer

A simple example would be x+y=1 and x+y=2

anonymous · Answer

So, like a parallel line?

anonymous · Answer

Yep, a parallel line fits this for the most part. The only time it wouldn't fit the description is when the two lines are identical. Such as x+y=2 and 2x+2y=2. These two lines are the exact same, meaning they are parallel. But in this case there are infinitely many solutions (all of the x and y coordinates along the line), so it isn't inconsistent.

anonymous · Answer

You definitely have the right idea, but remember that one case I just gave you

anonymous · Answer

Ultimately consistency refers to the solutions

anonymous · Answer

Okay, thanks

anonymous · Answer

What would be parallel to 9x - y = -2?

anonymous · Answer

Anything with the same slope

anonymous · Answer

Oh! Thanks! :D

anonymous · Answer

Mhmm, tis why I'm here

anonymous · Answer

Lol