
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
For which real values of \( m \) are the simultaneous equations 
\[
\begin{align*}
y &= mx + 5 \\
y &= (3m - 2)x + 6 
\end{align*}
\]
satisfied by at least one pair of real numbers \( (x,y) \)?
A) all \( m \) \\
B) all \( m \neq 0 \) \\
C) all \( m \neq \frac{1}{2} \) \\
D) all \( m \neq 1 \) \\
E) no values of \( m \)

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