Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.
\begin{tabular}{|l|l|}
\hline System A
\[
\begin{array}{r}
x-2 y=2 \\
-x+2 y=2
\end{array}
\] & The system has no solution.
The system has a unique solution:
\[
(x, y)=(\square, \square)
\]
The system has infinitely many solutions. They must satisfy the following equation:
\[
y=\square
\] \\
\hline System B
\[
\begin{aligned}
-x+3 y & =6 \\
x-3 y & =-6
\end{aligned}
\] & The system has no solution.
The system has a unique solution:
\[
(x, y)=(\square, \square)
\]
The system has infinitely many solutions. They must satisfy the following equation:
\[
y=\square
\] \\
\hline
\end{tabular}