Question

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

\\2x - y = 2\\

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

Explanation:

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<reasoning>

Choose a value for x

\[
x = 0
\]

Substitute and solve for y

\[

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

\]

Write the ordered pair

\[
(x, y) = (0, -2)
\]
</reasoning>

<answer>
Find an ordered pair \((x, y)\) that is a solution to the equation.

\(2x - y = 2\)

\((x, y) =\) <blank>\((0, -2)\)</blank>
</answer>

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"question_type": "Fill-in-the-blank",
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"Mathematics",
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"Linear Equation Solutions"
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Answer:

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</pre_analysis>

<reasoning>

Choose a value for x

\[
x = 0
\]

Substitute and solve for y

\[

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

\]

Write the ordered pair

\[
(x, y) = (0, -2)
\]
</reasoning>

<answer>
Find an ordered pair \((x, y)\) that is a solution to the equation.

\(2x - y = 2\)

\((x, y) =\) <blank>\((0, -2)\)</blank>
</answer>

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"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Equation Solutions"
]
}
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