No, there are several 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.
You can solve the system of equations with three variables using the substitute method, or using matrix operations.
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
isolate
No, there are several methods.
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
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".
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.
To solve a system of equations, you need equations (number phrases with equal signs).
Simultaneous equations are usually used in mathematics to find the values of three variables within a system.
The answer depends on whether they are linear, non-linear, differential or other types of equations.
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.
You can solve the system of equations with three variables using the substitute method, or using matrix operations.
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
Graphical methods involve examining charts, pictures, and graphs to determine the answer to a problem. This would be used when finding the solution to a system of equations and graphing all the equations to find points at which they coincide. Analytical methods involve calculating answers without the use of charts or graphs. If one were to solve a system of equations by substitution, this would be an example of an analytically produced solution