
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
In the Cartesian coordinate system, find the general equation for curve \( C \) described by the parametric equations:
$$
\begin{cases}
x=2+ \frac { \sqrt {2}}{2}t \\
y=1+ \frac { \sqrt {2}}{2}t
\end{cases}
$$
where \( t \) is the parameter.

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