
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 $c$ be a constant. The simultaneous equations
\[
\begin{align*}
x - y &= 4, \\
cx + y &= 7.
\end{align*}
\]
Determine the range of values for $c$ such that the solution $(x, y)$ lies in Quadrant I.
A) $c > -1$  
B) $c < \frac{7}{4}$  
C) $-1 < c < \frac{7}{4}$  
D) $0 < c < \frac{7}{4}$  
E) $-1 < c < \frac{3}{2}$

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