
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 numbers $x$ and $y$, a new operation $*$ is defined as $x*y=ax+by$, where $a$ and $b$ are constants, and the right side of the equation involves usual addition and multiplication operations. Given that $3*5=15$ and $4*7=28$, find $1*1$.

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