QuestionFind the general solution for the system with the augmented matrix:
$$\left[\begin{array}{llll} 1 & 1 & 0 & -3 \\ 2 & 1 & 0 & -9 \end{array}\right]$$
Choose A, B, C, or D based on the solution.

Studdy Solution
Since $x3$ does not appear in any of the equations, it is a free variable. This means that $x3$ can take any real number value.
The general solution of the system is then$$\left\{\begin{array}{l} x_{}=-6 \\ x_{2}=3 \\ x_{3} \text { is free } \end{array}\right.$$This corresponds to choice B.