
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 for $x, y$:
\begin{align*}
4x-3y & = \lambda, \\
5x+6y & = 2\lambda + 3.
\end{align*}
Express your answer as an ordered pair $(x,y)$ in terms of $\lambda$.

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