Answer
Answers may vary, and one possible solution is
$x+y+z=-3$
$x-y-z=1$
$-x+y-z=7$
Work Step by Step
The goal was to write a simple system of equations for the solution $(-1, 2, -4)$.
$x+y+z=-3$
$x-y-z=1$
$-x+y-z=7$
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