English: Animated geometric illustration of two inconsistent systems of three linear equations in three variables. Each equation is shown as a row normal plane in three-dimensional space. The animation shows two different ways a system can have no solution: in one case, two planes are parallel and distinct; in the other, the first two planes intersect in a line while the third plane is parallel to that line and does not contain it. Row operations change the planes while preserving the solution set, which remains empty. The animation was created to illustrate the consistency section of the English Wikipedia article System of linear equations.