已知线性方程组 (I) 的基础解系为: $\xi_{\text {， }}\left(\begin{array}{l}0 \\ 0 \\ 1 \\ 0\end{array}\right), \xi _2=\left(\begin{array}{c}-1 \\ 1 \\ 0 \\ 1\end{array}\right)$ ，线性方程组（II）的基础解系为: $\eta _1=\left(\begin{array}{l}0 \\ 1 \\ 1 \\ 0\end{array}\right), \eta _2=\left(\begin{array}{c}-1 \\ -1 \\ 0 \\ 1\end{array}\right)$, 求两方程组的公共解.
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$\text{B.}$
$\text{C.}$
$\text{D.}$