Question:
$2 x-y=5$
$4 x-2 y=7$
Solution:
Given: $2 x-y=5$
$4 x-2 y=7$
$D=\left|\begin{array}{ll}2 & -1 \\ 4 & -2\end{array}\right|=-4+4=0$
$D_{1}=\left|\begin{array}{ll}5 & -1 \\ 7 & -2\end{array}\right|=-10+7=-3$
$D_{2=}\left|\begin{array}{ll}2 & 5 \\ 4 & 7\end{array}\right|=14-20=-6$
Here, $D_{1}$ and $D_{2}$ are non-zero, but $D$ is zero. Thus, the given system of linear equations is inconsistent.
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