Chapter 9 - Section 9.1 - Solving Systems of Linear Equations in Three Variables and Problem Solving - Practice - Page 633: 3

$(1/3, -1, -1)$

A: $3x+2y = -1$ B: $6x-2z=4$ C: $y-3z=2$ $-2*A+B$ $-2*(3x+2y)+6x-2z = -2*-1+4$ $-6x-4y+6x-2z=2+4$ D: $-4y-2z=6$ $4C+D$ $4*(y-3z)+(-4y-2z)=4*2+6$ $4y-12z-4y-2z=8+6$ $-14z=14$ $-14z/-14=14/-14$ $z=-1$ $6x-2z=4$ $6x-2*(-1)=4$ $6x+2=4$ $6x=2$ $6x/6=2/6$ $x=1/3$ $y-3z=2$ $y-3*(-1)=2$ $y+3=2$ $y=-1$