
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
Given that $(y-3)$ is directly proportional to $x$, and when $x=2$, $y=7$.
(1) Write the functional relationship between $y$ and $x$;
(2) Calculate the value of $y$ when $x=4$;
(3) Calculate the value of $x$ when $y=4$.

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