Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below.\ \\ $3x_1 + 3x_2 + 6x_3 = 12$\ $-9x_1 - 9x_2 - 18x_3 = -36$\ $-3x_2 + 3x_3 = 9$\ \ $3x_1 + 3x_2 + 6x_3 = 0$\ $-9x_1 - 9x_2 - 18x_3 = 0$\ $-3x_2 + 3x_3 = 0$\ \ Describe the solution set, $x = \begin{bmatrix} x_1\\x_2\\x_3 \end{bmatrix}$, of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice.\ (Type an integer or fraction for each matrix element)\ A. $x =$\ B. $x =$\ C. $x =$\ D. $x = $
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First, let's solve the first system of equations: 3 + 3x + 612 = 0 336x = 0 -9x - 918x - 36 = 0 -9 - 922 - 18x = 0 -3x + 3x = 0 From the first equation, we can solve for x: 3x = -615 x = -205 Now, let's substitute this value of x into the second Show more…
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