$x_1-2x_2+5x_3=-5,x_1-2x_2+5x_3=0$

$2x_1+x_2+5x_3=-15,2x_1+x_2+5x_3=0$

$-x_1-3x_2=10,-x_1-3x_2=0$

Where the solution set is $x=\left[\begin{array}{c}{x}_1\\ x_2\\ x_3\end{array}\right].$

a$)$ Describe the solutions of the first system of equations below in parametric vector $fc$

$x=\left[\begin{array}{c}-7\end{array}\right]$

$-1$

$0$

$x=x_2\left[\begin{array}{c}-3\end{array}\right]$

$1$

$1$

$x=\left[\begin{array}{c}-7\end{array}\right]$

$-1$

$0+x_3\left[\begin{array}{c}-3\end{array}\right]$

$1$

$1$

$x=x_2\left[\begin{array}{c}-3\end{array}\right]$

$1$

$1+x_3\left[\begin{array}{c}-7\end{array}\right]$

$0$

b$)$ Which option is the best geometric comparison with the solution set of the second

system of equations?

The solution set of the first system is a plane parallel to the line that is the solution

of the second system.

The solution set of the first system is a plane parallel to the plane that is the solutio

set of the second system.

The solution set of the first system is a line perpendicular to the line that is the solu

set of the second system.

The solution set of the first system is a line parallel to the line that is the solution

the second system.