$x_1+2x_2-x_4=1\to(1)$
$-2x_1-3x_2+4x_3+5x_4=2\to(2)$
$2x_1+4x_2-2x_4=3\to(3)$
Do $eq(3)-2\times eq(1)$
$\implies 0=2$
Hence system of linear equations is inconsistent..
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