
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 mapping $f$: $A→B$, $A=B=(x,y)|x$, $y∈R$ and $f$: $((x,y)→(x-y,x+y))$ the element in set $B$ that corresponds to the element $(-1,2)$ in set $A$ is _____.

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