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In this lesson from Winpossible, we'll explain how to find out whether a system of equations has no solution. In a system of two linear equations Ax + By + C = 0 and Dx + Ey + F = 0, the only circumstance in which the system of equation would have no solution is when the lines are parallel, i.e. they have the same slope and they don't overlap. Then there can be no points that are common to both lines.
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