
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 two variables $x$ and $y$: $\left\{\begin{array}{l}2x-y=4m-5\\x+4y=-7m+2\end{array}\right.$, where the solutions satisfy $x+y \gt -3$, and $m$ is a non-negative integer, find the value of $m$.

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