Question: Does a system of linear equations always have a solution? What about the following system? x + 3y = 1 2x + 6y=3 If we

Does a system of linear equations always have a
Does a system of linear equations always have a solution? What about the following system? x + 3y = 1 2x + 6y=3 If we think of the two equations in the above system as two "straight lines" in the plane, can you explain why the system doesn't have a solution

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