solve the system by substitution:

$y = -2$

$4x - 3y = 18$

(3, -2)
(-1, -2)
(1, -2)
(-2, 4)

Question

solve the system by substitution:

$y = -2$

$4x - 3y = 18$

(3, -2)
(-1, -2)
(1, -2)
(-2, 4)

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": [ "Substitution Method", "Solving Multi-Step Equations" ], "new_concepts": [], "current_concepts": [ "Substitution Method", "Solving Multi-Step Equations", "System of Equations Definition" ] } ## Substitute the known variable Using the *Substitution Method* knowledge point $$ \begin{aligned} &y = -2\ &4x - 3(-2) = 18 \end{aligned} $$ ## Solve for x Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} &4x + 6 = 18\ &4x = 12\ &x = 3 \end{aligned} $$ ## Form the solution coordinate Using the *Substitution Method* knowledge point $$ \begin{aligned} &(x, y) = (3, -2) \end{aligned} $$

(3, -2)

(-1, -2)

(1, -2)

(-2, 4)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Substitution Method" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the known variable

Solve for x

Form the solution coordinate

Answer: