Answer:
The solution to the matrix equation is;
[tex](x,y)=(-3,1)[/tex]
Explanation:
Given the matrix operation:
[tex]\mleft(\begin{array}{c}x \\ y\end{array}\mright)=\mleft(\begin{array}{cc}0 & 1 \\ 1 & 2\end{array}\mright)(\begin{array}{c}7 \\ -3\end{array})[/tex]
Let us perform the matrix multiplication;
[tex]\begin{gathered} (\begin{array}{c}x \\ y\end{array})=(\begin{array}{cc}0 & 1 \\ 1 & 2\end{array})(\begin{array}{c}7 \\ -3\end{array}) \\ (\begin{array}{c}x \\ y\end{array})=(\begin{array}{c}0(7)+1(-3) \\ 1(7)+2(-3)\end{array}) \\ (\begin{array}{c}x \\ y\end{array})=(\begin{array}{c}0-3 \\ 7-6\end{array}) \\ (\begin{array}{c}x \\ y\end{array})=(\begin{array}{c}-3 \\ 1\end{array}) \end{gathered}[/tex]
The solution to the matrix equation is;
[tex](x,y)=(-3,1)[/tex]
