
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
Solve the following systems of equations:
(1) $$\begin{cases} 3x-5z=6 \\ x+4z=-15 \end{cases}$$;
(2) $$\begin{cases} \frac{2x-1}{5}+ \frac{3y-2}{4}=2 \\ \frac{3x+1}{5}- \frac{3y+2}{4}=0 \end{cases}$$.

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