4) \-3x - 3y = 3\
\y = -5x - 17\

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" ], "new_concepts": [], "current_concepts": [ "Substitution Method", "Systems of Equations" ] } ## Set up the system of equations $$ \begin{cases} -3x - 3y = 3 \quad \text{(Equation 1)} \ y = -5x - 17 \quad \text{(Equation 2)} \end{cases} $$ ## Substitute Equation 2 into Equation 1 $$ \begin{aligned} -3x - 3(-5x - 17) &= 3 \ -3x + 15x + 51 &= 3 \ 12x + 51 &= 3 \ 12x &= -48 \ x &= -4 \end{aligned} $$ ## Solve for y $$ \begin{aligned} y &= -5(-4) - 17 \ y &= 20 - 17 \ y &= 3 \end{aligned} $$ $x = -4, y = 3$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Equations" ] }

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Question

Explanation:

Set up the system of equations

Substitute Equation 2 into Equation 1

Solve for y

Answer: