Final answer:
To solve the system of linear equations, write the equations in standard form, set up the augmented matrix, transform the matrix into reduced echelon form, and read the solution from the matrix.
Step-by-step explanation:
To solve the system of linear equations:
- Write the equations in standard form.
- Set up the augmented matrix.
- Use row operations to transform the matrix into reduced echelon form.
- Read the solution from the matrix.
The solution to the given system of equations is x = 1, y = -1, and z = 3.