
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 system of equations:

$$
\begin{gathered}
8 x^{2}-26 x y+15 y^{2}+116 x-150 y+360=0 \\
8 x^{2}+18 x y-18 y^{2}+60 x+45 y+108=0
\end{gathered}
$$

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