
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 linear equations in $x$ and $y$, $\begin{cases}x+y=-4m \\ 2x+y=2m+1\end{cases}$,
(1) Find the solution to this system of equations (represent the solution using algebraic expressions containing $m$);
(2) If the solution to this system of equations satisfies $x-y=10$, find the value of $m$.

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