Question: Simplify to Monic Polynomial

Hello all,

I have a vector with 3 rows and each row is an equation with 2 variables.  What I am wanting to do is simplify based on the leading coefficient of one of the variables to make the equation a monic polynomial wrt that variable, primarily because it will allow me to quickly check the eigenvalues of the system.  Here is a basic example of what I want to do:

2*x+1 --> x+1/2

Any ideas? Ive tried combinations of simplify, factor, and collect and have gotten nowhere.

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