Answer
Yes, he ordered triple is a solution of the system.
Work Step by Step
We have to check if the provided point is a solution to the system, putting in the value $-1$ for x, $3$ for y and $2$ for z in all three equations.
For the first equation:
$\begin{align}
& -1-2\left( 2 \right)=-5 \\
& -1-4=-5 \\
& -5=-5
\end{align}$
This implies the point satisfies the first equation,
For the second equation:
$\begin{align}
& 3-3\left( 2 \right)=-3 \\
& 3-6=-3 \\
& -3=-3
\end{align}$
This implies the point satisfies the second equation.
For the third equation:
$\begin{align}
& 2\left( -1 \right)-2=-4 \\
& -2-2=-4 \\
& -4=-4
\end{align}$
This implies the point satisfies the third equation.
Thus, the ordered triple is a solution of the system.
