
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
**(This question is worth 12 points)**

It is known that point B(1,0) is the endpoint of vector $\vec{a}$, vectors $\vec{b}$ and $\vec{c}$ both originate from the origin O, and $\vec{b}=(-3,-4)$, $\vec{c}=(1,1)$. The relationship between vector $\vec{a}$ and vectors $\vec{b}$ and $\vec{c}$ is $\vec{a}=3\vec{b}-2\vec{c}$. Find the coordinates of the starting point of vector $\vec{a}$.

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