alleryStart learning →A system whose graphs are coincident lines is described as:
AConsistent and dependent
BConsistent and different
CConcurrent and dependent
DConsistent and deferred
Answer & Solution
Correct answer: A. Consistent and dependent
1. Coincident lines lie exactly on top of each other.
2. Every point on the line satisfies both equations, so solutions exist.
3. Such a system has infinitely many solutions and is consistent and dependent.
4. Consistent covers the solutions existing, dependent covers the equations matching.
_Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 5 'Systems of Linear Equations', sections 5.1-5.3_
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