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My question is, is it possible to use a matrix to solve a system where you have the same variable, but a different degree. i.e.

[tex]2x^2 + 2x + y = 2[/tex]

[tex]-3x^2 - 6x + 2y = 4[/tex]

[tex] 4x^2 + 6x - 3y = 6[/tex]

Now, I know this is possible other ways, but seeing as each of those would have multiple solutions, is it possible to solve using a matrix?