System of equations with two unknowns

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If I have three equations with two unknowns $(X, Y)$ , what should I do?

I check that one is linearly dependent? and then I delete it.

Thank you.

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I would solve it based on two of the equations, and then substitute your answer for the third. If it matches, then it does not affect the answer. However, it it does not work (e.g., end up with $-1=0$ or similar), then there is no solution.