
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
The cost of eight pencils, two pens, and one eraser is $\$4.60$. The cost of two pencils, five pens, and one eraser is $\$3.90$. The cost of one pencil, one pen, and three erasers is $\$2.75$. What is the cost of four pencils, three pens, and two erasers?

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