
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
The point of intersection between the line $\frac{x-2}{1}= \frac{y-3}{1}= \frac{z-4}{2}$ and the plane $2X+Y+Z=0$ is ______.

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