
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 
$$
\begin{cases} 
x=2 \\ 
y=1
\end{cases}
$$
is the solution to the system of equations 
$$
\begin{cases} 
ax+by=5 \\ 
bx+ay=1
\end{cases}
$$
then find the value of $3-a-b$.

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