3) $y = -3x + 5$
$5x - 4y = -3$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Substitution Method", "Systems of Equations" ], "new_concepts": [], "current_concepts": [ "Substitution Method", "Systems of Equations" ] } ## Substitute the expression for y into the second equation $$ 5x - 4(-3x + 5) = -3 $$ ## Solve the linear equation for x $$ \begin{aligned} 5x + 12x - 20 &= -3 \ 17x - 20 &= -3 \ 17x &= 17 \ x &= 1 \end{aligned} $$ ## Substitute x back into the first equation to find y $$ \begin{aligned} y &= -3(1) + 5 \ y &= 2 \end{aligned} $$ $x = 1$, $y = 2$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Systems of Equations" ] }

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Question

Explanation:

Substitute the expression for y into the second equation

Solve the linear equation for x

Substitute x back into the first equation to find y

Answer: