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solve the following equation for \\(x\\). \\7x - 23y = 3\\

Question

solve the following equation for \\(x\\).

\\7x - 23y = 3\\

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Linear Equation Solutions"
],
"new_concepts": [
"Literal Equations",
"Solving for a Variable"
],
"current_concepts": [
"Linear Equation Solutions",
"Literal Equations",
"Solving for a Variable"
]
}
</pre_analysis>

<reasoning>

Isolate the term containing x

\[

$$\begin{aligned} 7x - 23y &= 3 \\ 7x &= 3 + 23y \end{aligned}$$

\]

Solve for x by dividing

\[

$$\begin{aligned} x &= \frac{3 + 23y}{7} \end{aligned}$$

\]
</reasoning>

<answer>
\(x = \frac{3 + 23y}{7}\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Literal Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Linear Equation Solutions"
],
"new_concepts": [
"Literal Equations",
"Solving for a Variable"
],
"current_concepts": [
"Linear Equation Solutions",
"Literal Equations",
"Solving for a Variable"
]
}
</pre_analysis>

<reasoning>

Isolate the term containing x

\[

$$\begin{aligned} 7x - 23y &= 3 \\ 7x &= 3 + 23y \end{aligned}$$

\]

Solve for x by dividing

\[

$$\begin{aligned} x &= \frac{3 + 23y}{7} \end{aligned}$$

\]
</reasoning>

<answer>
\(x = \frac{3 + 23y}{7}\)
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Free Response",
"knowledge_point": [
"Mathematics",
"Algebra",
"Literal Equations"
]
}
</post_analysis>