
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
In the equations $3x-y=2$, $2a-3$, $x+\frac{1}{x}-2=0$, $\frac{1}{2}x=\frac{1}{2}-\frac{1}{2}x$, $x^{2}-2x-3=0$, $x=0$, determine the total number of linear equations.

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