(Solved): Lef \( u=\left[\begin{array}{r}-5 \\ -2 \\ 6\end{array}\right], v=\left[\begin{array}{r}6 \\ -4 \\ ...

Lef \( u=\left[\begin{array}{r}-5 \\ -2 \\ 6\end{array}\right], v=\left[\begin{array}{r}6 \\ -4 \\ -7\end{array}\right] \), and \( w=\left[\begin{array}{r}-6 \\ 36 \\ 6\end{array}\right] \) It can be shown that \( -6 u-6 v-w=0 \). Use this fact (and no row operations) to find \( x_{1} \) and \( x_{2} \) that satisfy the equation \( \left[\begin{array}{rr}-5 & 6 \\ -2 & -4 \\ 6 & -7\end{array}\right]\left[\begin{array}{r}x_{1} \\ x_{2}\end{array}\right]=\left[\begin{array}{r}-6 \\ 36 \\ 6\end{array}\right] \) \[ \begin{array}{l} x_{1}= \\ x_{2}= \end{array} \] (Simplify your answers)