- A system of linear equations is a set of two or more equations that contain variables that are linearly related.
- A system of linear equations in 3 variables involves three variables and can be represented by three linear equations.
- A system of linear equations can be solved using various methods, such as substitution, elimination, or matrix inversion.
- A system of linear equations in 3 variables can have either a unique solution, no solution, or infinitely many solutions.
Important Formulas to Remember in these topic System of linear equations in 3 variables:
$$\begin{aligned} a_{11} x + a_{12} y + a_{13} z &= b_1 \\ a_{21} x + a_{22} y + a_{23} z &= b_2 \\ a_{31} x + a_{32} y + a_{33} z &= b_3 \end{aligned}$$