Q: When linear equations used for first time?

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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.

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Rene Descartes was a French mathematician who created the coordinate plane on which linear equations are plotted.

Quality does not normally play any part in linear equations.

In coordinated geometry on the Cartesian plane

The answer depends on the nature of the equations. For a system of linear equations, the [generalised] inverse matrix is probably simplest. For a mix of linear and non-linear equations the options include substitution, graphic methods, iteration and numerical approximations. The latter includes trail and improvement. Then there are multi-dimensional versions of "steepest descent".

There are more than two methods, and of these, matrix inversion is probably the easiest for solving systems of linear equations in several unknowns.

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.

Elimination and substitution are two methods.

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.

usually used in science, distance versus time to find speed. distance on y-xis, and time on x-axis. the line represents speed. since neither time nor distance can be negative, the line will always be in the first quadrant.

If you have a system, which can be expressed as a set of linear equations, then you can utilize matrices to help solve it. One example is an electrical circuit which uses linear devices (example are constant voltage sources and resistive loads). To find the current through each device, a set of linear equations is derived.

Elimination and substitution are two methods.