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.
It is a linear expression in two variables. As an expression it cannot be solved. Furthermore, to solve equations in two variables you need at least two linear equations.
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers. If you don't: You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination. For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two variables.
4
You cannot solve one linear equation in two unknown variables (x and y), although some non-linear equations will suffice. You need two independent linear equations. All you can do is express one of the variables in terms of the other, but that is not solving the equation.
You need two independent linear equations to solve for two unknown variables.
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.
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
It is a linear expression in two variables. As an expression it cannot be solved. Furthermore, to solve equations in two variables you need at least two linear equations.
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers. If you don't: You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination. For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two variables.
4
You cannot solve one linear equation in two unknown variables (x and y), although some non-linear equations will suffice. You need two independent linear equations. All you can do is express one of the variables in terms of the other, but that is not solving the equation.
You cannot solve 1 linear equation in 2 unknown variables. You need at least two independent equations.
You cannot solve one linear equation in two variables. You need two equations that are independent.
You need as many equations as you have variables.
Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.
You simplify the brackets first and then you will have linear equations without brackets!