Answer
$(x,y,z)=(2,-7,-32)$
Work Step by Step
Consider $x=2$
and $2x+y=-3 \implies 2(2)+y=-3$
This implies $y=-7$
Now, $-3x-4y+z=-10 \implies -3(2)-4(-7)+z=-10$
or, $z=-32$
Our result is : $(x,y,z)=(2,-7,-32)$
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