Question 15, 5.2.51
66.67%, 10 of 15 points
Points: 0 of 1
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The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back substitution to obtain the solution of the associated system of linear equations.
$$
\begin{bmatrix}
1 & 3 & 2 & | & 6 \\
0 & 1 & -3 & | & 9 \\
0 & 0 & 1 & | & -2
\end{bmatrix}
$$
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. There is one solution. The solution set is { }.
(Simplify your answer. Type an ordered triple, using integers or fractions.)
B. There are infinitely many solutions. The solution set is the set of all ordered triples (($\square$, $\square$, z)), where z is any real number.
(Type expressions using z as the variable. Simplify your answers.)
C. The system is inconsistent. The solution set is $\emptyset$.
