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Answer:
D. [3 1 | -9]
[ 1 5 | 16]
Step-by-step explanation:
The matrix of B represents the coefficients of the variables. It would generally be part of a matrix equation:
[tex]\left[\begin{array}{cc}3&1\\1&5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}-9\\16\end{array}\right][/tex]
However, the entire system of equations can be represented by the augmented matrix ...
[tex]\left[\begin{array}{cc|c}3&1&-9\\1&5&16\end{array}\right] \qquad\textbf{matches D.}[/tex]
