
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 the parametric equations of two curves are $$\begin{cases} \left.\begin{matrix}x= \sqrt {5}\cos\theta \\ y=\sin\theta\end{matrix}\right.\end{cases}$$ ($0\leq\theta\leq\pi$) and $$\begin{cases} \left.\begin{matrix}x= \frac {5}{4}t \\ y=t\end{matrix}\right.\end{cases}$$ ($t\in\mathbb{R}$), find the coordinates of their intersection points.

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