Solving Linear Equations
Our aim is to find the values of the n unknowns x1, x2, x3, …, xn that simultaneously satisfy the system of m linear equations
Gaussian elimination
To find the solution of these equations we use a method called Gaussian elimination. There are five steps to Gaussian elimination.
- Create the augmented matrix.
- Row reduces the matrix into reduced form.
- Reform the equations from the reduced form.
- Solve by back substitution.
- Check answer.
Find out more about solving linear equations by reading the explanation below.
Practice: Solve the system of linear equations in the following exercises.