Answer
Yes, the 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 $4$ for x, $1$ for y and $2$ for z in all three equations.
For the first equation:
$\begin{align}
& 4-2\left( 1 \right)=2 \\
& 4-2=2 \\
& 2=2
\end{align}$
This implies the point satisfies the first equation.
For the second equation:
$\begin{align}
& 2\left( 4 \right)+3\left( 1 \right)=11 \\
& 8+3=11 \\
& 11=11
\end{align}$
This implies the point satisfies the second equation.
For the third equation:
$\begin{align}
& 1-4\left( 2 \right)=-7 \\
& 1-8=-7 \\
& -7=-7
\end{align}$
This implies the point satisfies the third equation.
Thus, the ordered triple is a solution of the system.
