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College Algebra / Unit 9   Alg 490 short lesson, about 20 seconds

Independent, Dependent, Inconsistent

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The idea

A system of two lines is independent with one solution, dependent with infinitely many, or inconsistent with none — the lines parallel.

In practice

x + y = 3 against x + y = 5 collapses to 3 = 5: parallel, no solution. Doubled, 2x + 2y = 6 is the same line.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

Builds on

  • Nothing. This is a starting point.

Unlocks

  • Nothing yet depends on this.

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