
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
For the system of linear equations in $x$ and $y$ given by $$\begin{cases} 2x+my=5 \\ nx-3y=2\end{cases}$$, the augmented matrix is transformed into the final matrix $$\begin{pmatrix} 1 & 0 & 3 \\ 0 & 1 & 1\end{pmatrix}$$. Find the value of $$\frac {m}{n}$$.

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