1.5.6 Systems of algebraic equations

Problem: Solve the system of equations \( \left\{\begin{array}{c}3 x-y-z=2 \\ x+y+z=0 \\ 2 x+2 y+3 z=7\end{array}\right. \) a) Cramer's method, b) Gauss method, c) Inverse matrix method.