solve for w in the proportion.

\\frac{3w + 2}{8} = \frac{w - 2}{3}\

answer:

Question

solve for w in the proportion.

\\frac{3w + 2}{8} = \frac{w - 2}{3}\

answer:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations Solving" ], "new_concepts": [], "current_concepts": [ "Proportional Reasoning", "Linear Equations Solving" ] } ## Cross-multiply to eliminate fractions $$ 3(3w + 2) = 8(w - 2) $$ ## Expand both sides $$ 9w + 6 = 8w - 16 $$ ## Solve for w $$ \begin{aligned} 9w - 8w &= -16 - 6 \ w &= -22 \end{aligned} $$ Solve for $w$ in the proportion. $$\frac{3w + 2}{8} = \frac{w - 2}{3}$$ Answer: $-22$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations Solving" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Cross-multiply to eliminate fractions

Expand both sides

Solve for w

Answer: