$x_1+2x_2-x_4=1\to(1)$

$-2x_1-3x_2+4x_3+5x_4=2\to(2)$

$2x_1+4x_2-2x_4=3\to(3)$

Do $eq(3)-2\times eq(1)$

$\implies 0=2$

Hence system of linear equations is inconsistent..

39 Points

9 Points

7 Points

6 Points