Answer
Yes
Work Step by Step
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 $x=5,y=-3z=-1$ in the given ordered pair of equations.
First equation: $x+y+z=0$
$5-3-1=0$
Thus, $0=0$
Second equation: $x+2y-3z=5$
$5-6+6=5$
Thus, $5=5$
Third equation: $3x+4y+2z=-1$
$15-12-4=-1$ Thus, $-1 =-1$
Hence, it is a solution.
