determine whether 9 is a solution of the equation $2z + 7(z - 3) = 60$.

is 9 a solution?
- no
- yes

Question

determine whether 9 is a solution of the equation $2z + 7(z - 3) = 60$.

is 9 a solution?
- no
- yes

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Verifying Equations" ], "new_concepts": [], "current_concepts": [ "Verifying Equations", "Solving Linear Equations" ] } ## Substitute the value into the equation $$ \begin{aligned} &\text{Let } z = 9\ &2(9) + 7(9 - 3) = 60 \end{aligned} $$ ## Simplify the expression $$ \begin{aligned} &2(9) + 7(6) = 60\ &18 + 42 = 60\ &60 = 60 \end{aligned} $$ ## Determine the solution validity $$ \begin{aligned} &60 = 60 \quad (\text{True})\ &\text{Therefore, } 9 \text{ is a solution.} \end{aligned} $$

No

Yes

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute the value into the equation

Simplify the expression

Determine the solution validity

Answer: