
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 that the solution to the system of linear equations with the augmented matrix $\begin{pmatrix} 3 & -1 & 22 \\ 0 & 1 & 2\end{pmatrix}$ is $\begin{cases} \overset{x=m}{y=t}\end{cases}$, find the value of $m+t$.

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