1.5.32 Systems of algebraic equations
Condition: Using the method of eliminating unknowns, find the general and basic solutions of the system of equations: \[ \left\{\begin{array}{c} 5 x_{1}-8 x_{2}-4 x_{3}=-10 \\ 7 x_{1}-x_{2}+11 x_{3}=0 \end{array}\right. \]
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.