Answer
$(-3, -4, -5)$
Work Step by Step
A: $2x+2y-3z=1$
B: $y+2z=-14$
C: $3x-2y=-1$
A-2B
$2x+2y-3z-2*(y+2z)=1-2*-14$
$2x+2y-3z-2y-4z=1+28$
$2x-7z=29$
2B+C
$2*(y+2z)+3x-2y=2*-14-1$
$2y+4z+3x-2y=-28-1$
$3x+4z=-29$
$2x-7z=29$
$3x+4z=-29$
$4*(2x-7z)+7*(3x+4z)=4*29+7*-29$
$8x-28z+21x+28z=116-203$
$29x=-87$
$29x/29=-87/29$
$x=-3$
$3x-2y=-1$
$3*-3-2y=-1$
$-9-2y=-1$
$-2y=8$
$-2y/-2 = 8/-2$
$y=-4$
$y+2z=-14$
$-4+2z=-14$
$2z=-10$
$2z/2 = -10/2$
$z=-5$
