Chapter 3 Linear Systems and Matrices - 3.4 Solve Systems of Linear Equations in Three Variables - 3.4 Exercises - Skill Practice - Page 182: 4

The given ordered triple is a solution of the system.

$(-1,-2,5)$ $4x-y+3z=13$ $4(-1)-1(-2)+3(5)=13$ $-4+2+15=13$ $13=13$ $x+y+z=2$ $1(-1)+1(-2)+1(5)=2$ $-1-2+5=2$ $2=2$ $x+3y-2z=-17$ $1(-1)+3(-2)-2(5)=-17$ $-1-6-10=-17$ $-17=-17$