
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the system of equations about $x$ and $y$:
$$
\begin{cases}
a_1x - b_1y = c_1 \\
a_2x + b_2y = c_2 \\
\end{cases}
$$
whose solution is:
$$
\begin{cases}
x = 2 \\
y = -1 \\
\end{cases}
$$
find the solution for the system of equations about $x$ and $y$:
$$
\begin{cases}
a(x+3) - b_1(y-2) = c_1 \\
a_2(x+3) + b_2(y-2) = c_2 \\
\end{cases}
$$

Present the answer in LaTex format: \boxed{Your answer}
user