
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
Given the system of equations about $x$ and $y$ $$\begin{cases} \overset{(2x-1)+i=y-(3-y)i}{(2x+ay)-(4x-y+b)i=9-8i}\end{cases}$$ has real solutions, find the values of $a$ and $b$.

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