Chapter 3 Linear Systems and Matrices - 3.4 Solve Systems of Linear Equations in Three Variables - 3.4 Exercises - Skill Practice - Page 182: 11

No solution

Using elimination for the first two equations: $3x - y + 2z = 4$ $6x - 2y + 4z =-8$ Multiply both sides of the first equation by $-2$: $-6x +2 y -4z = -8$ $6x - 2y + 4z =-8$ __________________________ $0\ne-16$ We can conclude that this system of equations has no solution.