what is the solution to the linear equation?

(4b + 6 = 2 - b + 4)

- (b = -2)
- (b = 0)
- (b = 4)
- (b = 6)

Question

what is the solution to the linear equation?

(4b + 6 = 2 - b + 4)

- (b = -2)
- (b = 0)
- (b = 4)
- (b = 6)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Combining Like Terms", "Properties of Equality" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Combining Like Terms", "Properties of Equality" ] } ## Simplify the right side of the equation $$ \begin{aligned} &4b + 6 = 2 - b + 4 \ &4b + 6 = 6 - b \end{aligned} $$ ## Isolate the variable terms $$ \begin{aligned} &4b + b + 6 = 6 \ &5b + 6 = 6 \end{aligned} $$ ## Solve for b $$ \begin{aligned} &5b = 6 - 6 \ &5b = 0 \ &b = 0 \end{aligned} $$

(A) $b = -2$

(B) $b = 0$

(C) $b = 4$

(D) $b = 6$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Simplify the right side of the equation

Isolate the variable terms

Solve for b

Answer: