Chapter 9 - Section 9.1 - Solving Systems of Linear Equations in Three Variables and Problem Solving - Exercise Set - Page 637: 11

$(0, 0, 0)$

A: $x+5z=0$ B: $5x+y=0$ C: $y-3z=0$ $x+5z=0$ $x=-5z$ $5x+y=0$ $5(-5z)+y=0$ $-25z+y=0$ $y=25z$ $y-3z=0$ $y=3z$ $25z=3z$ $25*0=3*0$ $0=0$ $y-3z=0$ $y-3*0=0$ $y-0=0$ $y=0$ $5x+y=0$ $5x+0=0$ $5x=0$ $5x/5=0/5$ $x=0$