what are the solution(s) of $-3(x - 1) = x - 5$?

-5 and 3
-3
1 and 5
2

Question

what are the solution(s) of $-3(x - 1) = x - 5$?

-5 and 3
-3
1 and 5
2

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Graphical Solution of Equations" ], "new_concepts": [], "current_concepts": [ "Graphical Solution of Equations", "Systems of Equations" ] } ## Set up the equation algebraically $$ -3(x - 1) = x - 5 $$ ## Solve for x $$ \begin{aligned} -3x + 3 &= x - 5 \ -4x &= -8 \ x &= 2 \end{aligned} $$ ## Verify with the graphical intersection $$ \begin{aligned} &\text{Intersection point of } y = -3(x-1) \text{ and } y = x-5 \text{ is } (2, -3).\ &\text{The } x\text{-coordinate of the intersection is } 2. \end{aligned} $$

-5 and 3

-3

1 and 5

2

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the equation algebraically

Solve for x

Verify with the graphical intersection

Answer: