Relationship between a,b and c that make the equation system have infinite solutions

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i have this matrix

\begin{cases} \phantom{2}x_1+2x_2-3x_3=a\\ 2x_1+3x_2+3x_3=b\\ 5x_1+9x_2-6x_3=c\\ \end{cases}

And the excercise says that i have to find the relationship between a, b, c that makes that the set of equations to have infinite solutions. I have to use python for this but i dont know for where to start. The excercise says at the end "Declare a,b,c as symbolic variables"

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As @KBS suggested, after learning a little bit more i made a Gaussian elimination process on the matrix and this is the result:

\begin{cases} \phantom{2}x_1+2x_2-3x_3=a\\ 0x_1-1x_2+9x_3=b-2a\\ 0x_1+0x_2-0x_3=3a-c+b\\ \end{cases}

This mean that the system has infinite solutions, right?. And how can i make this same process in python and show this result?.