Answer
Yes, the ordered pair is a solution.
Work Step by Step
Plug in the given values to the variables to test if they are a solution to the system.
$(4,1,2)$
$x-2y=2$
$4-2(1)=2$
$4-2=2$
$2=2$
$2x+3y=11$
$2(4)+3(1)=11$
$8+3=11$
$11=11$
$y-4z=-7$
$1-4(2)=-7$
$-7=-7$
yes