
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
If the solution of the system of linear equations in two variables $x$ and $y$ $\left\{\begin{array}{l}{2x+y=3k-1}\\{x+2y=-2}\end{array}\right.$ satisfies $x-y\leqslant 5$, then the range of values for $k$ is ______.

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