
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
When Xiao Ming was solving the system of linear equations in two variables $x$ and $y$: $\left\{{\begin{array}{l}{x+\otimes y=3}\\{3x-\oplus y=1}\end{array}}\right.$, he obtained the correct solution $\left\{{\begin{array}{l}{x=\oplus}\\{y=1}\end{array}}\right.$. Find the values of $\otimes$ and $\oplus$.

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