Answer
$(2,0,-3)$
Work Step by Step
Given Equations,
$2x+5y=4$ Equation $(1)$
$x-5y+z=-1$ Equation $(2)$
$4x-z=11$ Equation $(3)$
Adding Equation $(1)$ and Equation $(2)$
$2x+5y+x-5y+z=4-1$
$3x+z=3$ Equation $(4)$
Adding Equation $(3)$ and Equation $(4)$
$4x-z+3x+z=11+3$
$7x=14$
$x=2$
Substituting $x$ value in Equation $(1)$
$2x+5y=4$
$2(2)+5y=4$
$4+5y=4$
$5y=0$
$y=0$
Substituting $x$ value in Equation $(3)$
$4x-z=11$
$4(2)-z=11$
$8-z=11$
$-z=3$
$z=-3$
Solution: $(2,0,-3)$