
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
Let  $x,y,z$  is positive. Solve: $\begin{cases}{x\left( {6 - y} \right) = 9}
{y\left( {6 - z} \right) = 9}
{z\left( {6 - x} \right) = 9}\end{cases}$ 

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