
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 $\left\{\begin{array}{l}{x=2}\\{y=-3}\end{array}\right.$ and $\left\{\begin{array}{l}{x=4}\\{y=1}\end{array}\right.$ are two solutions of the linear equation $mx-3ny=5$. <br/>$(1)$ Find the values of $m$ and $n$; <br/>$(2)$ If $x \lt -2$, find the range of values for $y$.

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