two-step equations

\frac{j}{-2} + 7 = -12

Question

two-step equations

\frac{j}{-2} + 7 = -12

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations" ], "new_concepts": [ "Two-Step Equations" ], "current_concepts": [ "Linear Equations", "Two-Step Equations" ] } ## Subtract 7 from both sides $$ \begin{aligned} \frac{j}{-2} + 7 - 7 &= -12 - 7 \ \frac{j}{-2} &= -19 \end{aligned} $$ ## Multiply both sides by -2 $$ \begin{aligned} \frac{j}{-2} \cdot (-2) &= -19 \cdot (-2) \ j &= 38 \end{aligned} $$ Solve for $j$: $$\frac{j}{-2} + 7 = -12$$ $j =$ 38 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Two-Step Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Subtract 7 from both sides

Multiply both sides by -2

Answer: