what is the solution to the system of equations?

$y = -3x + 6$
$y = 9$

* $(-21, 9)$
* $(9, -21)$
* $(-1, 9)$
* $(9, -1)$

Question

what is the solution to the system of equations?

$y = -3x + 6$
$y = 9$

* $(-21, 9)$
* $(9, -21)$
* $(-1, 9)$
* $(9, -1)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Substitution Method", "Systems of Linear Equations" ], "new_concepts": [], "current_concepts": [ "Systems of Linear Equations", "Substitution Method" ] } ## Substitute the value of y into the first equation $$ \begin{aligned} y &= 9 \ 9 &= -3x + 6 \end{aligned} $$ ## Solve the linear equation for x $$ \begin{aligned} 9 - 6 &= -3x \ 3 &= -3x \ x &= -1 \end{aligned} $$ ## Write the solution as an ordered pair $$ (x, y) = (-1, 9) $$

(A) $(-21, 9)$

(B) $(9, -21)$

(C) $(-1, 9)$

(D) $(9, -1)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the value of y into the first equation

Solve the linear equation for x

Write the solution as an ordered pair

Answer: