Independent, Dependent, Inconsistent
This video presents the same text shown beside it, spoken and on screen. It adds nothing the text does not say.
State
A system of two lines is independent with one solution, dependent with infinitely many, or inconsistent with none — the lines parallel.
Show
x + y = 3 against x + y = 5 collapses to 3 = 5: parallel, no solution. Doubled, 2x + 2y = 6 is the same line.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.