solve.

\
\begin{aligned}
3x + 2y &= 2 \\
9x + 10y &= -2
\end{aligned}
\

$(\quad, \quad)$

Question

solve.

\
\begin{aligned}
3x + 2y &= 2 \\
9x + 10y &= -2
\end{aligned}
\

$(\quad, \quad)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "System of Linear Equations" ], "new_concepts": [], "current_concepts": [ "System of Linear Equations" ] } ## Eliminate the x-variable $$ \begin{aligned} -3(3x + 2y) &= -3(2) \ -9x - 6y &= -6 \end{aligned} $$ ## Solve for y $$ \begin{aligned} (-9x - 6y) + (9x + 10y) &= -6 + (-2) \ 4y &= -8 \ y &= -2 \end{aligned} $$ ## Solve for x $$ \begin{aligned} 3x + 2(-2) &= 2 \ 3x - 4 &= 2 \ 3x &= 6 \ x &= 2 \end{aligned} $$ Solve. $$ \begin{aligned} 3x + 2y &= 2 \ 9x + 10y &= -2 \end{aligned} $$ (2, -2) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "System of Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Eliminate the x-variable

Solve for y

Solve for x

Answer: