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

The given ordered triple is not a solution of the system.

$(1,4,-3)$ $2x-y+z=-5$ $2(1)-1(4)+1(-3)=-5$ $2-4-3=-5$ $-5=-5$ $5x+2y-2z=19$ $5(1)+2(4)-2(-3)=19$ $5+8+6=19$ $19=19$ $x-3y+z=-5$ $1(1)-3(4)+1(-3)=-5$ $1-12-3=-5$ $-14\ne-5$