Problem

\begin{tabular}{|l|l|}
\hline & \begin{tabular}{l}
The system has no solution. \\
The system has a unique solution: \\
$(x, y)=(\square, \square)$ \\
System A \\
$2 x-y=6$
\end{tabular} \\
The system has infinitely many solutions. \\
They must satisfy the following equation: \\
$y=6$
\end{tabular}

Answer

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Answer

Final Answer: \(\boxed{(6, 6)}\)

Steps

Step 1 :The system of equations given is System A: \(2x - y = 6\) and \(y = 6\).

Step 2 :To find the solution to this system, we can substitute \(y = 6\) into the first equation and solve for \(x\).

Step 3 :Substituting \(y = 6\) into the first equation gives us \(2x - 6 = 6\).

Step 4 :Solving this equation gives us the solution \(x = 6\).

Step 5 :Therefore, the solution to the system of equations is \((x, y) = (6, 6)\).

Step 6 :Final Answer: \(\boxed{(6, 6)}\)

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