
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 Cartesian coordinate system $xOy$, find the equation of the line that passes through the right focus of the ellipse given by the parametric equations 
$$
\begin{cases}
x = 2\cos\theta \\
y = \sqrt{3}\sin\theta
\end{cases}
$$
(where $\theta$ is a parameter) and is parallel to the line given by the parametric equations 
$$
\begin{cases}
x = 4 - 2t \\
y = 3 - t
\end{cases}
$$
(where $t$ is a parameter).

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