
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 $k$ be a constant. Consider the system of equations:
\begin{align*}
2x - y &= 5 \\
kx^2 + y &= 4 \\
\end{align*}
Determine $k$ so that the solution $(x, y)$ lies in Quadrant I.
A) $k \geq -\frac{1}{9}$
B) $k \geq 0$
C) $k > 0$
D) $k < 0$
E) $k \geq -\frac{1}{8}$

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