solve the equation:

\6(1+5x) = 5(1+6x)\

Question

solve the equation:

\6(1+5x) = 5(1+6x)\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Algebraic Equations" ], "new_concepts": [], "current_concepts": [ "Solving Algebraic Equations", "Distributive Property", "Linear Equations" ] } ## Apply the distributive property $$ \begin{aligned} 6(1) + 6(5x) &= 5(1) + 5(6x) \ 6 + 30x &= 5 + 30x \end{aligned} $$ ## Subtract 30x from both sides $$ \begin{aligned} 6 + 30x - 30x &= 5 + 30x - 30x \ 6 &= 5 \end{aligned} $$ ## Analyze the resulting statement $$ 6 eq 5 $$ Solve the equation: $6(1+5x)=5(1+6x)$ Answer: No solution { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Subtract 30x from both sides

Analyze the resulting statement

Answer: