if substitution results in a false statement (such as $0=5$), the system has

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Substitution Method", "No Solution Systems" ], "new_concepts": [], "current_concepts": [ "Substitution Method", "No Solution Systems" ] } ## Analyze the algebraic outcome Using the *Substitution Method* knowledge point $$ \begin{aligned} &\text{Given algebraic result: } 0 = 5\ &\text{Statement validity: False} \end{aligned} $$ ## Determine system classification Using the *No Solution Systems* knowledge point $$ \begin{aligned} &\text{Since } 0 e 5 \text{ for any values of } x \text{ and } y,\ &\text{the system has no solution.} \end{aligned} $$ If substitution results in a false statement (such as 0=5), the system has no solution. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "No Solution Systems" ] }

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Analyze the algebraic outcome

Determine system classification

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