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[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

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...

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system
In the Cartesian coordinate system xOy, the parametric equation of line l is given by
$$
\begin{cases}
x=3-\frac{\sqrt{2}}{2}t \\
y=\sqrt{5}+\frac{\sqrt{2}}{2}t
\end{cases}
$$
where t is the parameter. In the polar coordinate system with the origin O as the pole and the positive x-axis as the polar axis, the equation of circle C is
$$
\rho=2\sqrt{5}\sin\theta.
$$

(I) Write the standard equation of line l and the Cartesian equation of circle C.
(II) If point P has coordinates $(3, \sqrt{5})$, and circle C intersects line l at points A and B, find the value of $|PA| + |PB|$.

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