
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 solution to the system of equations \\( \begin{cases} 2a-3b=13 \\ 3a+5b=30.9 \end{cases} \\) is \\( \begin{cases} a=8.3 \\ b=1.2 \end{cases} \\), solve the system of equations \\( \begin{cases} 2(x+2)-3(y-1)=13 \\ 3(x+2)+5(y-1)=30.9 \end{cases} \\).

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