Answer:
[tex](-3,1)[/tex]
Step-by-step explanation:
The given matrix equation is
[tex]\left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{cc}0&1\\1&2\end{array}\right] \left[\begin{array}{c}7&-3\end{array}\right] [/tex]
We perform matrix multiplication on the Right Hand Side to obtain;
[tex]\left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}0(7)+1(-3)&1(7)+2(-3)\end{array}\right] [/tex]
We simplify to obtain;
[tex]\left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}-3&1\end{array}\right] [/tex]
This implies that [tex]x=-3[/tex] and [tex]y=1[/tex]
The correct answer is
[tex](-3,1)[/tex]
