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Problem Which of the following matrix equations correctly represents the system of linear equations 2 x + 3 y = 5 2x + 3y = 5 2 x + 3 y = 5 and x − 4 y = 1 x - 4y = 1 x − 4 y = 1 ?
a) ( 2 3 1 − 4 ) ( x y ) = ( 1 5 ) \begin{pmatrix}2 & 3\\ 1 & -4\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}1\\ 5\end{pmatrix} ( 2 1 3 − 4 ) ( x y ) = ( 1 5 )
b) ( 3 2 − 4 1 ) ( x y ) = ( 5 1 ) \begin{pmatrix}3 & 2\\ -4 & 1\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}5\\ 1\end{pmatrix} ( 3 − 4 2 1 ) ( x y ) = ( 5 1 )
c) ( 2 3 1 − 4 ) ( x y ) = ( 5 1 ) \begin{pmatrix}2 & 3\\ 1 & -4\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}5\\ 1\end{pmatrix} ( 2 1 3 − 4 ) ( x y ) = ( 5 1 )
d) ( 2 3 1 4 ) ( x y ) = ( 5 1 ) \begin{pmatrix}2 & 3\\ 1 & 4\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}5\\ 1\end{pmatrix} ( 2 1 3 4 ) ( x y ) = ( 5 1 )
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