which point is a solution of the system of linear equations?

$x - 3y = -2$
$y = -3x + 4$

(1, 1)
(1, -1)
(-1, 1)
(-1, -1)

Question

which point is a solution of the system of linear equations?

$x - 3y = -2$
$y = -3x + 4$

(1, 1)
(1, -1)
(-1, 1)
(-1, -1)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Systems of Linear Equations" ], "new_concepts": [ "Solving Systems by Substitution" ], "current_concepts": [ "Systems of Linear Equations", "Solving Systems by Substitution" ] } ## Substitute the second equation into the first $$ \begin{aligned} &y = -3x + 4 \ &x - 3(-3x + 4) = -2 \end{aligned} $$ ## Solve for x $$ \begin{aligned} &x + 9x - 12 = -2 \ &10x - 12 = -2 \ &10x = 10 \ &x = 1 \end{aligned} $$ ## Solve for y $$ \begin{aligned} &y = -3(1) + 4 \ &y = 1 \end{aligned} $$

(1, 1)

(1, -1)

(-1, 1)

(-1, -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 second equation into the first

Solve for x

Solve for y

Answer: