
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
The intersection points of the curve $$\begin{cases} x=-2+5t \\ y=1-2t\end{cases}$$ (where $t$ is a parameter) with the coordinate axes can be found by solving for the values of $t$ that satisfy the equations $x=0$ and $y=0$, and then calculating the corresponding coordinates. Find these coordinates.

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