Solve the system of linear equations \( \left\{\begin{array}{c}-7 x+3 y=6 \\ 6 x-3 y=-3\end{array}\right. \) by completing the following. \( \begin{array}{ll}\text { (a) Suppose the coefficient matrix is } A=\left[\begin{array}{cc}-7 & 3 \\ 6 & -3\end{array}\right] \\ \text { Find } A^{-1} \text { and use it to write the solution matrix }\left[\begin{array}{c}x \\ y\end{array}\right] \text { as a product of two } \\ \text { matrices. } \\ {\left[\begin{array}{l}x \\ y\end{array}\right]=}\end{array} \)

Cuál es la inversa de la matriz: \( \left[\begin{array}{lll}1 & 2 & 1 \\ 0 & 1 & 0 \\ 2 & 0 & 3\end{array}\right] \) a. \( \left[\begin{array}{ccc}-3 & 6 & 1 \\ 0 & 1 & 0 \\ 2 & 4 & -1\end{array}\right] \) b. \( \left[\begin{array}{ccc}-3 & 0 & 2 \\ 6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) c. \( \left[\begin{array}{ccc}3 & 0 & -2 \\ -6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) d. \( \left[\begin{array}{ccc}3 & -6 & 1 \\ 0 & 1 & 0 \\ -2 & 4 & 1\end{array}\right] \)

Factor completely. \[ 2 v^{2}-20 v-48 \]

Cuál es la inversa de la matriz: \( \left[\begin{array}{lll}1 & 2 & 1 \\ 0 & 1 & 0 \\ 2 & 0 & 3\end{array}\right] \) a. \( \left[\begin{array}{ccc}-3 & 6 & 1 \\ 0 & 1 & 0 \\ 2 & 4 & -1\end{array}\right] \) b. \( \left[\begin{array}{ccc}-3 & 0 & 2 \\ 6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) c. \( \left[\begin{array}{ccc}3 & 0 & -2 \\ -6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) d. \( \left[\begin{array}{ccc}3 & -6 & 1 \\ 0 & 1 & 0 \\ -2 & 4 & 1\end{array}\right] \)

Factor completely. \[ 5 v^{2}-30 v+70 \]

Find the least common denominator of \( \frac{2}{x-6} \) and \( \frac{7}{x+6} \)