Question

find an ordered pair \\((x, y)\\) that is a solution to the equation.

\\x - 2y = 6\\

\\((x, y) = \\)

Explanation:

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<reasoning>

Choose a value for one variable

\[
\text{Let } y = 0
\]

Substitute and solve for the other variable

\[

$$\begin{aligned} x - 2(0) &= 6 \\ x &= 6 \end{aligned}$$

\]

Form the ordered pair

\[
(x, y) = (6, 0)
\]
</reasoning>

<answer>
Find an ordered pair \((x, y)\) that is a solution to the equation.
\(x-2y=6\)
\((x,y) =\) <blank>\((6, 0)\)</blank>
</answer>

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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Equations"
]
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Answer:

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</pre_analysis>

<reasoning>

Choose a value for one variable

\[
\text{Let } y = 0
\]

Substitute and solve for the other variable

\[

$$\begin{aligned} x - 2(0) &= 6 \\ x &= 6 \end{aligned}$$

\]

Form the ordered pair

\[
(x, y) = (6, 0)
\]
</reasoning>

<answer>
Find an ordered pair \((x, y)\) that is a solution to the equation.
\(x-2y=6\)
\((x,y) =\) <blank>\((6, 0)\)</blank>
</answer>

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"Mathematics",
"Algebra",
"Linear Equations"
]
}
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