9) \-5x + y = -2\
\-3x + 6y = -12\

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Substitution Method", "Systems of Equations", "Elimination Method" ], "new_concepts": [], "current_concepts": [ "Systems of Equations", "Substitution Method", "Elimination Method" ] } ## Express y in terms of x $$ \begin{aligned} -5x + y &= -2 \ y &= 5x - 2 \end{aligned} $$ ## Substitute into the second equation $$ \begin{aligned} -3x + 6(5x - 2) &= -12 \ -3x + 30x - 12 &= -12 \ 27x - 12 &= -12 \ 27x &= 0 \ x &= 0 \end{aligned} $$ ## Solve for y $$ \begin{aligned} y &= 5(0) - 2 \ y &= -2 \end{aligned} $$ $(0, -2)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Equations" ] }

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Explanation:

Express y in terms of x

Substitute into the second equation

Solve for y

Answer: