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Use Inverses to Solve Matrix Equations
Write the Linear System 9x2y=519 x - 2 y = 51

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Use Inverses to Solve Matrix Equations
Write the linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the
constant matrix.
- 9x2y=519 x - 2 y = 51
6y=366 y = 36


A) [9206][xy]=[5136]\left[ \begin{array} { r r } 9 & - 2 \\ 0 & 6 \end{array} \right] \left[ \begin{array} { l } x \\ y \end{array} \right] = \left[ \begin{array} { l } 51 \\ 36 \end{array} \right]
B)
[92636][xy]=[510]\left[ \begin{array} { c c } 9 & - 2 \\6 & 36\end{array} \right] \left[ \begin{array} { l } x \\y\end{array} \right] = \left[ \begin{array} { l } 51 \\0\end{array} \right]
C)
[6092][xy]=[362]\left[ \begin{array} { c c } 6 & 0 \\9 & - 2\end{array} \right] \left[ \begin{array} { l } x \\y\end{array} \right] = \left[ \begin{array} { c } 36 \\- 2\end{array} \right]
D)
[512360][xy]=[96]\left[ \begin{array} { r r } 51 & - 2 \\36 & 0\end{array} \right] \left[ \begin{array} { l } x \\y\end{array} \right] = \left[ \begin{array} { l } 9 \\6\end{array} \right]

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