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

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