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Praxis Core
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Classify Consistent and Inconsistent Systems
Grade Level
Praxis Core
5165.059 Classify Consistent and Inconsistent Systems
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Use the coordinate-plane graph showing Line cc and Line dd. Which conclusion correctly classifies the system represented by the two lines?
A
Consistent and dependent; it has infinitely many solutions because the two graphed equations lie on the same line.
B
Consistent and independent; it has exactly one solution because the graphed lines have different slopes, 4/3 and 4/3.
C
Cannot be determined because the exact equations for Line cc and Line dd are not both written in the prompt.
D
Inconsistent; it has no solution because the graphed lines are distinct with the same slope 4/3.
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