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Level 267

Classifying Systems of Equations


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consistent
two statements can both be true at the same time
inconsistent
false under every possible assignment of truth values to its variables.
independent
the truth or falsity of one has no effect on the truth or falsity of the other
dependent
A system of equations has infinitely many solutions.
One Solution
Lines intersect at one point
Infinite Solutions
Lines intersect everywhere (0 = 0)
No Solution
If an inquality is equivalent to an inequality that is false, such as 4 < -2.