Chapter 3 - Section 3.3 - Systems of Linear Equations in Three Variables - Exercise Set - Page 215: 4

Yes

Our aim is to determine that whether the given ordered pair is a solution or not. In order to find this we will plug the given values of $x$ and $y$ , respectively. Plug $x=-1,y=3,z=2$ in the given ordered pair of equations. First equation: $x-2z=-5$ $-1-4=-5$ Thus, $-5=-5$ Second equation: $y-3z=-3$ $3-6=-3$ Thus, $-3=-3$ Third equation: $2x-z=-4$ $-2-2=-4$ Thus, $-4 =-4$ Hence, it is a solution.