Answer
$\left[\begin{array}{c}50 \\ 45\end{array}\right]$
Work Step by Step
\[
\begin{array}{l}
C=\left[\begin{array}{cc}
.1 & -.6 \\
-.5 & .2
\end{array}\right] \\
\mathbf{d}=\left[\begin{array}{l}
18 \\
11
\end{array}\right]
\end{array}
\]
2
\[
\mathbf{x}=(I-C)^{-1} \mathbf{d}
\]
3
\[
\mathbf{x}=\left[\begin{array}{cc}
.9 & -.6 \\
-.5 & .8
\end{array}\right]^{-1}\left[\begin{array}{c}
18 \\
11
\end{array}\right]=\left[\begin{array}{cc}
40 / 21 & 30 / 21 \\
25 / 21 & 45 / 21
\end{array}\right]\left[\begin{array}{c}
18 \\
11
\end{array}\right]=\left[\begin{array}{c}
50 \\
45
\end{array}\right]
\]
