2) \begin{aligned} 2x - 3y &= -1 \\ y &= x - 1 \end{aligned}

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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" ], "new_concepts": [], "current_concepts": [ "Systems of Equations", "Substitution Method" ] } ## Substitute the second equation into the first $$ \begin{aligned} &2x - 3(x - 1) = -1 \end{aligned} $$ ## Solve the linear equation for x $$ \begin{aligned} 2x - 3x + 3 &= -1 \ -x + 3 &= -1 \ -x &= -4 \ x &= 4 \end{aligned} $$ ## Substitute x back to find y $$ \begin{aligned} y &= 4 - 1 \ y &= 3 \end{aligned} $$ $x = 4, y = 3$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Equations" ] }

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Question

Explanation:

Substitute the second equation into the first

Solve the linear equation for x

Substitute x back to find y

Answer: