Simultaneous linear equations in three variables involve three unknowns (\(x\), \(y\), and \(z\)) solved together to find a unique solution.
The general form of these equations is:
\[ ax + by + cz = d \]
\[ ex + fy + gz = h \]
\[ ix + jy + kz = l \]
1. Substitution Method: Solve for one variable and substitute into the other equations.
2. Elimination Method: Add or subtract equations to eliminate variables.
3. Matrix Method: Represent the system in matrix form and use row operations.