7) \-4x + y = 6\
\-5x - y = 21\

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Systems of Equations", "Elimination Method" ], "new_concepts": [], "current_concepts": [ "Systems of Equations", "Elimination Method" ] } ## Add the two equations to eliminate y $$ \begin{aligned} (-4x + y) + (-5x - y) &= 6 + 21 \ -9x &= 27 \end{aligned} $$ ## Solve for x $$ \begin{aligned} x &= \frac{27}{-9} \ x &= -3 \end{aligned} $$ ## Substitute x back to solve for y $$ \begin{aligned} -4(-3) + y &= 6 \ 12 + y &= 6 \ y &= -6 \end{aligned} $$ $x = -3, y = -6$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Equations" ] }

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Question

Explanation:

Add the two equations to eliminate y

Solve for x

Substitute x back to solve for y

Answer: