Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve (in your mind): \\\\frac{1}{4} - y = 9\\ answer example: \\(x=3; …

Question

solve (in your mind):

\\\frac{1}{4} - y = 9\\

answer

example: \\(x=3; x=5\\)

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Solving Algebraic Equations"
],
"new_concepts": [],
"current_concepts": [
"Solving Algebraic Equations",
"Linear Equations"
]
}
</pre_analysis>

<reasoning>

Isolate the variable term

\[
-y = 9 - \frac{1}{4}
\]

Simplify the constant side

\[
-y = \frac{36}{4} - \frac{1}{4} = \frac{35}{4}
\]

Solve for y

\[
y = -\frac{35}{4}
\]
</reasoning>

<answer>
Solve (in your mind):
\[\frac{1}{4} - y = 9\]

Answer:

<blank>\(y = -\frac{35}{4}\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Solving Algebraic Equations"
]
}
</post_analysis>