Answer
This means the plane representing the solution set will be translated.
Work Step by Step
Solving for basic variable $x_1$, we get
$x_1=3x_2-5x_3$
$x=x_2\begin{bmatrix}
3\\
1\\
0
\end{bmatrix}+x_3\begin{bmatrix}
-5\\
0\\
1
\end{bmatrix}$
For the second equation, there will be an extra vector added to the solution set above.
$x=x_2\begin{bmatrix}
3\\
1\\
0
\end{bmatrix}+x_3\begin{bmatrix}
-5\\
0\\
1
\end{bmatrix}+\begin{bmatrix}
4\\
0\\
0
\end{bmatrix}$
This means the plane representing the solution set will be translated.
