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Quality does not normally play any part in linear equations.
In coordinated geometry on the Cartesian plane
liner equations can b used in business for getting the rough estimate of the profit or loss using a variable in the place of a quantity which is unknown.
I have never seen the term 'symbolic' used in this way. There are 4 methods used to solve a system of linear equations in two variables. Graphing, Substitution, Elimination, and Cramer's Rule.
The absorption of fluorine into flint dates exposure of the surface and dates the time the rock was cracked. The linear equation will compare the dates of exposure until today's date. There are other uses but that is one.