Answer
Yes
Work Step by Step
Our aim is to determine that whether the given ordered pair is a solution or not. In order to find this we will plug the given values of $x$ and $y$ , respectively.
Plug $x=4,y=1,z=2$ in the given ordered pair of equations.
First equation: $x-2y=2$
$4-2=2$
Thus, $2=2$
Second equation: $2x+3y=11$
$8+3=11$
Thus, $11=11$
Third equation: $y-4z=-7$
$1-8=-7$ Thus, $-7 =-7$
Hence, it is a solution.