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.
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are a small minority of functions.
Most functions are not like linear equations.
There are more than two methods, and of these, matrix inversion is probably the easiest for solving systems of linear equations in several unknowns.
Elimination and substitution are two methods.
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.
Equations = the method
Paul C. Rosenbloom has written: 'Linear partial differential equations' -- subject(s): Linear Differential equations, Partial Differential equations 'The elements of mathematical logic' -- subject(s): Symbolic and mathematical Logic
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
All linear equations are functions but not all functions are linear equations.
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are always functions.