for each equation, tell whether the value for $x$ will be positive or negative.

select option a or option b.

| | option a | option b |
|---|---|---|
| $3x - 9 = 27$ | positive | negative |
| $-3x + 9 = -27$ | positive | negative |
| $9 - 3x = 27$ | positive | negative |

Question

for each equation, tell whether the value for $x$ will be positive or negative.

select option a or option b.

| | option a | option b |
|---|---|---|
| $3x - 9 = 27$ | positive | negative |
| $-3x + 9 = -27$ | positive | negative |
| $9 - 3x = 27$ | positive | negative |

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Solving Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Solving Equations" ] } ## Solve the first equation $$ \begin{aligned} 3x - 9 &= 27 \ 3x &= 36 \ x &= 12 \quad (\text{Positive}) \end{aligned} $$ ## Solve the second equation $$ \begin{aligned} -3x + 9 &= -27 \ -3x &= -36 \ x &= 12 \quad (\text{Positive}) \end{aligned} $$ ## Solve the third equation $$ \begin{aligned} 9 - 3x &= 27 \ -3x &= 18 \ x &= -6 \quad (\text{Negative}) \end{aligned} $$ | Equation | Option A (Positive) | Option B (Negative) | Selected Answer | | :--- | :---: | :---: | :---: | | $3x - 9 = 27$ | Yes | No | Option A | | $-3x + 9 = -27$ | Yes | No | Option A | | $9 - 3x = 27$ | No | Yes | Option B | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Solving Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve the first equation

Solve the second equation

Solve the third equation

Answer:

	option a	option b
\\(-3x + 9 = -27\\)	positive	negative
\\(9 - 3x = 27\\)	positive	negative