consider the following equation:
\x + 2y = -2\

step 1 of 2: determine if the given ordered pair, $(-3, 2)$, satisfies the given equation.

answer
yes
no

Question

consider the following equation:
\x + 2y = -2\

step 1 of 2: determine if the given ordered pair, $(-3, 2)$, satisfies the given equation.

answer
yes
no

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Evaluating Algebraic Expressions", "Verifying Solutions to Systems" ], "new_concepts": [], "current_concepts": [ "Linear Equations in Two Variables", "Evaluating Algebraic Expressions", "Verifying Solutions to Systems" ] } ## Identify the given equation and ordered pair We are given the linear equation: $$x + 2y = -2$$ We need to test the ordered pair $(-3, 2)$. ## Substitute the coordinates into the equation Using the **Evaluating Algebraic Expressions** knowledge point $$ \begin{aligned} &x = -3,\quad y = 2\ &\text{Left-Hand Side (LHS)} = (-3) + 2(2) \end{aligned} $$ ## Simplify the expression and verify equality Using the **Verifying Solutions to Systems** knowledge point $$ \begin{aligned} &\text{LHS} = -3 + 4 = 1\ &\text{Right-Hand Side (RHS)} = -2\ &1 eq -2 \end{aligned} $$

YES

NO

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations in Two Variables" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given equation and ordered pair

Substitute the coordinates into the equation

Simplify the expression and verify equality

Answer: