
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 
\[
\begin{align*}
y &= (3m + 2)x + 1 \\  
y& = (5m - 4)x + 5
\end{align*}
\]
satisfied by at least one pair of real numbers $(x,y)$?
A) all $m$
B) all $m \neq 2$
C) all $m \neq 3$
D) all $m \neq 4$
E) no values of $m$

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