Answer
$(20,-64,-22)$.
Work Step by Step
$-2x+10y=-2(5,-2,9)+10(-1,6,4)=(-10,4,-18)+(-10,60,40)=(-20,64,22)$
The additive inverse of $(x,y,z)$ is $(-x,-y,-z)$, thus here the additive inverse is $(20,-64,-22)$.
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