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Answer: Consistent

Step-by-step explanation:

When given a system of equations, the definitions of the solution are:

  • Consistent & Independent: exactly ONE solution (lines intersect)
  • Consistent & Dependent: INFINITE solutions (same line)
  • Inconsistent: NO solutions (parallel lines)

In the given graph, the lines intersect, which means they have exactly ONE solution --> The system is Consistent & Independent.

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