8) \-7x - 2y = -13\
\x - 2y = 11\

Question

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", "Elimination Method", "Substitution Method" ] } ## Set up the system of equations $$ \begin{aligned} (1) \quad -7x - 2y &= -13 \ (2) \quad x - 2y &= 11 \end{aligned} $$ ## Subtract the second equation from the first $$ \begin{aligned} (-7x - 2y) - (x - 2y) &= -13 - 11 \ -8x &= -24 \ x &= 3 \end{aligned} $$ ## Substitute the value of x back to solve for y $$ \begin{aligned} 3 - 2y &= 11 \ -2y &= 8 \ y &= -4 \end{aligned} $$ $x = 3, y = -4$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Equations" ] }

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Question

Explanation:

Set up the system of equations

Subtract the second equation from the first

Substitute the value of x back to solve for y

Answer: