
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 $x$ and $y$ satisfy the system of equations $\left\{\begin{array}{l}{17x+19y=6-a}\\{13x-7y=10a+1}\end{array}\right.$, then the value of the algebraic expression $x+y$ is ______.

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