A grade 9 Matrices and Determinant question, anyone?

Answer:
[tex]\text{D is correct answer.}[/tex]
Step-by-step explanation:
[tex]1-x+y=0\\\text{or, }x-y=1\\\text{or, }(1)x+(-1)y=1.......(1)[/tex]
[tex]x-3=0\\\text{or, }(1)x+(0)y=3......(2)\\[/tex]
[tex]\text{Writing equations (1) and (2) in matrix form,}\\\bigg[\begin{matrix}1 & -1 \\1 & 0\end{matrix}\bigg]\bigg[\begin{matrix}x\\y\end{matrix}\bigg]=\bigg[\begin{matrix}1 \\3 \end{matrix}\bigg][/tex]