linear equations in 3 variables represents
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linear equation in three variables of the form ax + by +cz + d = 0 , represents a plane
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A linear equation in three variables of the form ax + by +cz + d = 0 , represents a plane. Each equation in the system represents a plane in three dimensional space and solution of the system of equations is precisely the point of intersection of the three planes defined by the three linear equations of the system.
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