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**Consistency of non-homogenous systems of linear equations**

Hello,

Is it possible to find out if a non-homogenous system of linear equations has:

- Single Solution.

or

- Infinite Solutions.

or

- No Solutions.

Without applying any methods/rules ( Such as Gauss, determinant..etc), just judging by the values and number of given equations and unknowns?

Thanks for your time.

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