Answer
$(2,0,2)$
Work Step by Step
Given Equations,
$x+z=4$ Equation $(1)$
$2x-y=4$ Equation $(2)$
$x+y-z=0$ Equation $(3)$
Adding Equation $(1)$ and Equation $(2)$
$x+z+2x-y=4+4$
$3x-y+z=8$ Equation $(4)$
Adding Equation $(3)$ and Equation $(4)$
$x+y-z+3x-y+z=0+8$
$4x=8$
$x=2$
Substituting $x$ value in Equation $(1)$
$x+z=4$
$2+z=4$
$z=2$
Substituting $x$ value in Equation $(2)$
$2x-y=4$
$2(2)-y=4$
$4-y=4$
$-y=0$
$y=0$
Solution: $(2,0,2)$