u can use gauss jorden or gauss elimination method for solving linear equation
u also use simple subtraction method for small linear equation also..
after that also there are many methods are available but above are most used
It is called solving by elimination.
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.
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".
The main advantage is that many situations cannot be adequately modelled by a system of linear equations. The disadvantage is that the system can often get very difficult to solve.
You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.
It is called solving by elimination.
Arthur Cayley
In general, a system of non-linear equations cannot be solved by substitutions.
A method for solving a system of linear equations; like terms in equations are added or subtracted together to eliminate all variables except one; The values of that variable is then used to find the values of other variables in the system. :)
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.
putang ina nyu
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".
The system of equations developed from the early days with ancient China playing a foundational role. The Gaussian elimination was initiated as early as 200 BC for purposes of solving linear equations.
The main advantage is that many situations cannot be adequately modelled by a system of linear equations. The disadvantage is that the system can often get very difficult to solve.
A system of linear equations that has at least one solution is called consistent.
The solution of a system of linear equations is a pair of values that make both of the equations true.