
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
Consider the following $4$ sets of equations:<br/>①$\left\{\begin{array}{l}{x=2}\\{y=3}\end{array}\right.$；<br/>②$\left\{\begin{array}{l}{4x=15}\\{3y-4x=-3}\end{array}\right.$；<br/>③$\left\{\begin{array}{l}{x+y=16}\\{{x}^{2}-y=4}\end{array}\right.$；④$\left\{\begin{array}{l}{x+y=35}\\{2x+4y=94}\end{array}\right.$.<br/>Among them, the sets that satisfy the definition of a system of two linear equations are _______. (Write down all the correct numbers)

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