Chapter 3 Linear Systems and Matrices - 3.4 Solve Systems of Linear Equations in Three Variables - 3.4 Exercises - Skill Practice - Page 182: 8

The given ordered triple is a solution of the system.

$(0,-4,7)$ $2x+4y-z=-23$ $2(0)4(-4)-1(7)=-23$ $0-16-7=-23$ $-23=-23$ $x-5y-3z=-1$ $1(0)-5(-4)-3(7)=-1$ $0+20-21=-1$ $-1=-1$ $-x+y+4z=24$ $-1(0)+1(-4)+4(7)=24$ $0-4+28=24$ $24=24$