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

$y = -x + 3$
$2x - y = 6$

(3, 0)
(3, -1)
(0, 3)
(-1, 3)

Question

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

$y = -x + 3$
$2x - y = 6$

(3, 0)
(3, -1)
(0, 3)
(-1, 3)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Systems of Linear Equations" ], "new_concepts": [], "current_concepts": [ "Systems of Linear Equations" ] } ## Substitute the first equation into the second $$ \begin{aligned} &y = -x + 3 \ &2x - (-x + 3) = 6 \end{aligned} $$ ## Solve for x $$ \begin{aligned} &2x + x - 3 = 6 \ &3x - 3 = 6 \ &3x = 9 \ &x = 3 \end{aligned} $$ ## Solve for y $$ \begin{aligned} &y = -(3) + 3 \ &y = 0 \end{aligned} $$

(A) (3, 0)

(B) (3, -1)

(C) (0, 3)

(D) (-1, 3)

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QUESTION IMAGE

Question

Explanation:

Substitute the first equation into the second

Solve for x

Solve for y

Answer: