
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 augmented matrix of a system of linear equations in x and y as $$\left(\begin{matrix} m & 0 \\ 0 & 3\end{matrix}\right.     \left.\begin{matrix} \overset{6}{n}\end{matrix}\right)$$, and the solution of the system is $$\begin{cases} \overset{x=-3}{y=4}\end{cases}$$, find the value of m+n.

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