Mathematics

Mathematics

Problem

Which of the following matrix equations correctly represents the system of linear equations 2x+3y=52x + 3y = 5 and x−4y=1x - 4y = 1? a) (231−4)(xy)=(15)\begin{pmatrix}2 & 3\\ 1 & -4\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}1\\ 5\end{pmatrix} b) (32−41)(xy)=(51)\begin{pmatrix}3 & 2\\ -4 & 1\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}5\\ 1\end{pmatrix} c) (231−4)(xy)=(51)\begin{pmatrix}2 & 3\\ 1 & -4\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}5\\ 1\end{pmatrix} d) (2314)(xy)=(51)\begin{pmatrix}2 & 3\\ 1 & 4\end{pmatrix}\begin{pmatrix}x\\ y\end{pmatrix}=\begin{pmatrix}5\\ 1\end{pmatrix}

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