1.5.49 Systems of algebraic equations
condition: Solve a system of linear equations using Cramer's formulas: \[ \left\{\begin{array}{l} 6 x_{1}+3 x_{3}=-9 \\ -2 x_{1}-2 x_{2}+6 x_{3}=4 \\ 5 x_{1}-x_{2}-x_{3}=-14 \end{array}\right. \]
Solving systems of algebraic equations by the methods of Gauss, Jordan-Gauss, Cramer and using the inverse matrix. Homogeneous and non-homogeneous systems of equations.