alleryStart learning →A system whose graphs are parallel lines is described as:
AInconsistent and indeterminate
BInconsistent and independent
CInconsistent and interdependent
DInconvenient and independent
Answer & Solution
Correct answer: B. Inconsistent and independent
1. Parallel lines give no solution, so the system is inconsistent.
2. The two equations still have different solution sets of their own.
3. That makes them independent as well.
4. A system whose graphs are parallel is inconsistent and independent.
_Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 5 'Systems of Linear Equations', sections 5.1-5.3_
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