solve:

(2.6 - 0.2b = 4.1 - 0.5b)

answer

example: (x=3); (x=5)

Question

solve:

(2.6 - 0.2b = 4.1 - 0.5b)

answer

example: (x=3); (x=5)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Equations", "Decimal Equations" ], "current_concepts": [ "Linear Equations", "Decimal Equations" ] } ## Isolate the variable terms $$ \begin{aligned} 2.6 - 0.2b &= 4.1 - 0.5b \ -0.2b + 0.5b &= 4.1 - 2.6 \end{aligned} $$ ## Simplify both sides $$ 0.3b = 1.5 $$ ## Solve for b $$ \begin{aligned} b &= \frac{1.5}{0.3} \ b &= 5 \end{aligned} $$ Solve: $2.6-0.2b=4.1-0.5b$ Answer: $b=5$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Isolate the variable terms

Simplify both sides

Solve for b

Answer: