solve for w.

(5w + 9z = 2z + 3w)

* (w = -\frac{7}{2}z)
* (w = -\frac{2}{7}z)
* (w = -2z)
* (w = -7z)

Question

solve for w.

(5w + 9z = 2z + 3w)

* (w = -\frac{7}{2}z)
* (w = -\frac{2}{7}z)
* (w = -2z)
* (w = -7z)

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", "Literal Equations", "Rearranging Formulas" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Combining Like Terms", "Properties of Equality", "Literal Equations", "Rearranging Formulas" ] } ## Subtract 3w from both sides $$ \begin{aligned} 5w + 9z - 3w &= 2z + 3w - 3w \ 2w + 9z &= 2z \end{aligned} $$ ## Subtract 9z from both sides $$ \begin{aligned} 2w + 9z - 9z &= 2z - 9z \ 2w &= -7z \end{aligned} $$ ## Divide both sides by 2 $$ \begin{aligned} \frac{2w}{2} &= \frac{-7z}{2} \ w &= -\frac{7}{2}z \end{aligned} $$

(A) $w = -\frac{7}{2}z$

(B) $w = -\frac{2}{7}z$

(C) $w = -2z$

(D) $w = -7z$

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

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QUESTION IMAGE

Question

Explanation:

Subtract 3w from both sides

Subtract 9z from both sides

Divide both sides by 2

Answer: