
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
Selected Exercise $(4-4)$: Coordinate Systems and Parametric Equations
Given the parametric equation of line $l$ as $ \begin{cases}x=2+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t\end{cases} (t \text{ is the parameter}) $, and the parametric equation of curve $C$ as $ \begin{cases}x=4\cos θ \\ y=2 \sqrt {3}\sin θ\end{cases} (θ \text{ is the parameter}) $, suppose line $l$ intersects curve $C$ at points $A$ and $B$.
(1) Find the ordinary equations for line $l$ and curve $C$;
(2) Given $P(2,0)$, find the value of $|PA|⋅|PB|$.

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