\(\left\{{}\begin{matrix}4x+y=2\\8x+2y=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2-4x\\8x+2\left(2-4x\right)=1\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}y=2-4x\\8x+4-8x=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2-4x\\4=1\left(vô.lí\right)\end{matrix}\right.\)
Vậy hpt vô nghiệm
\(\left\{{}\begin{matrix}4x+y=2\\8x+2y=1\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}8x+2y=4\\8x+2y=1\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}0x=3\\4x+y=2\end{matrix}\right.\Leftrightarrow\left(x,y\right)\in\varnothing\)