Answer
No solution
Work Step by Step
$2x-4y+8z=2$
$-x-3y+z=11$
$x-2y+4z=0$
$2x-4y+8z=2$
$2(x-2y+4z)=2*1$
$2(x-2y+4z)/2=2*1/2$
$x-2y+4z=1$
$x-2y+4z=0$
$x-2y+4z=1$
Since there are two equations with different constants, there are no solutions for the system.