Answer
$x=1/2$, $y=0$, $z=3/4$
Work Step by Step
$2x+4y=1$
$4x-4z=-1$
$y-4z=-3$
$4x-4z=-1$
$-1*(4x-4z)=-1*-1$
$-4x+4z=1$
$y-4z=-3$
$-4x+4z=1$
$y-4z-4x+4z=-3+1$
$-4x+y=-2$
$2x+4y=1$
$-4x+y=-2$
$2x+4y=1$
$2*(2x+4y)=1*2$
$4x+8y=2$
$-4x+y=-2$
$4x+8y=2$
$-4x+y+4x+8y=-2+2$
$9y=0$
$9y/9=0/9$
$y=0$
$2x+4y=1$
$2x+4*0=1$
$2x+0=1$
$2x=1$
$2x/2=1/2$
$x=1/2$
$y-4z=-3$
$0-4z=-3$
$-4z=-3$
$-4z/-4=-3/-4$
$z=3/4$