\text { 1. Let }\left\{\begin{array}{l} A=2 \\ B=6 \\ C=4 \\ D=3 \end{array}\right. Consider \left\{\begin{array}{ll} x_{1}-x_{2}+3 x_{3}+3 x_{4} & =A \\ -x_{2}+x_{3}+2 x_{4} & =B \\ 2 x_{1}-2 x_{2}+5 x_{3}+7

x_{4} & =C \\ 3 x_{1}-4 x_{2}+9 x_{3}+11 x_{4} & =D \\ 4 x_{1}-4 x_{2}+10 x_{3}+13 x_{4} & =w \end{array}\right. Determine the value of w so that the above system of equations is consistent. O Solve the system of equations using the value of w you get in Part (b).