Question 965592
First, write down the augmented matrix. Then, you can use Cramer's Rule to determine the values of the entries *[tex x], *[tex y] and *[tex z]. Recall that Cramer's Rule states that the value of *[tex x_i] is equal to the determinant of *[tex \mathbf{A}_i] divided by the determinant of *[tex \mathbf{A}] (where *[tex \mathbf{A}_i] is the matrix formed from the coefficient matrix *[tex \mathbf{A}], but with the *[tex i]-th column replaced by the vector *[tex \vec{b}]).

In this case, we have that
*[tex \mathbf{A}=\begin{bmatrix}1&-2&3\\4&1&-1\\2&-1&3\end{bmatrix}]
and
*[tex \vec{b}=\begin{bmatrix}11\\4\\10\end{bmatrix}]

Thus, it's simple calculation from here.
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