1.5.11 Systems of algebraic equations

Problem: Solve the system of equations \[ \left\{\begin{array}{c} x_{1}-x_{2}+4 x_{3}+3 x_{4}=0 \\ 3 x_{1}-2 x_{2}+x_{3}+2 x_{5}=1 \\ 2 x_{1}-x_{2}-3 x_{3}-3 x_{4}+2 x_{5}=1 \end{array}\right. \]