
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 rectangular coordinate system xOy, the parametric equations of the curve C are C: $$\begin{cases} \overset{x=3cos\alpha }{y=sin\alpha }\end{cases}$$ (α is the parameter), and the parametric equations of the line l are $$\begin{cases} \overset{x=-t+2}{y=t}\end{cases}$$ (t is the parameter).
(1) Find the ordinary equations of curve C and line l respectively;
(2) Line l intersects with curve C at points A and B. Find the value of |AB|.

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