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system
Given the polar equation of line C as $\rho=2$, and using the pole as the origin and the positive x-axis as the polar axis to establish a Cartesian coordinate system, the parametric equation of line L is 
$$
\begin{cases}
x = 1 - \frac{1}{2}t \\
y = 2 + \frac{\sqrt{3}}{2}t
\end{cases}
$$ 
(where $t$ is the parameter).
(1) Write the Cartesian equations of line L and curve C;
(2) Assuming that the transformation 
$$
\begin{cases}
x′ = x \\
y′ = 2y
\end{cases}
$$ 
is applied to curve C to obtain curve C′, determine the number of intersection points between L and tangent C′.

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