
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 value of $m$ does the system of equations

$$
\left\{
\begin{array}{l}
2x + (m-1)y = 3 \\
(m+1)x + 4y = -3
\end{array}
\right.
$$

have an infinite number of solutions? Have no solutions?

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