
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 plane, three vectors are given: $\overrightarrow{a} = (3, -2)$, $\overrightarrow{b} = (-1, y)$, and $\overrightarrow{c} = (x, 5)$.
(1) If $\overrightarrow{a}$ is perpendicular to $\overrightarrow{b}$, find the real number $y$.
(2) If $\overrightarrow{a}$ is parallel to $\overrightarrow{c}$, find the real number $x$.

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