
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
Given the system of linear equations $\left\{\begin{array}{l}{5x-2y=4}\\{2x+3y=9}\end{array}\right.$, using the addition and subtraction elimination method, by eliminating $x$ using $a \times$ the first equation $+ b \times$ the second equation, determine the possible values of $a$ and $b$.

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