solve.

\\frac{4}{3+z} = \frac{2}{3}\

Question

solve.

\\frac{4}{3+z} = \frac{2}{3}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Proportions", "Cross Product Property", "Solving Algebraic Equations" ], "new_concepts": [], "current_concepts": [ "Proportions", "Cross Product Property", "Solving Algebraic Equations" ] } ## Apply the cross product property $$ 4 \cdot 3 = 2 \cdot (3 + z) $$ ## Simplify and expand the equation $$ 12 = 6 + 2z $$ ## Solve for z $$ \begin{aligned} 6 &= 2z \ z &= 3 \end{aligned} $$ Solve. $$\frac{4}{3+z} = \frac{2}{3}$$ $z =$ 3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Algebraic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the cross product property

Simplify and expand the equation

Solve for z

Answer: