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A system of linear equations and a reduced matrix for the system are given.\\ $\begin{cases} x - y + z = 3\\ 3x + 2z = 7\\ x - 4y + 2z = 5 \end{cases}$ $\begin{bmatrix} 1 & 0 & \frac{2}{3} &\\\ 0 & 1 & -\frac{1}{3} \\\ 0 & 0 & 0 \end{bmatrix}$ $\begin{bmatrix} 7\\\ 3\\\ -2\\\ 0 \end{bmatrix}$\\(a) Use the reduced matrix to find the general solution of the system, if one exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.)\\$(x, y, z) = ($\\(b) If multiple solutions exist, find two specific solutions. (Enter your answers as a comma-separated list of ordered triples. If there is no solution, enter NO SOLUTION.)\\$(x, y, z) = $

          A system of linear equations and a reduced matrix for the system are given.\\
$\begin{cases} x - y + z = 3\\ 3x + 2z = 7\\ x - 4y + 2z = 5 \end{cases}$ $\begin{bmatrix} 1 & 0 & \frac{2}{3} &\\\ 0 & 1 & -\frac{1}{3} \\\ 0 & 0 & 0 \end{bmatrix}$ $\begin{bmatrix} 7\\\ 3\\\ -2\\\ 0 \end{bmatrix}$\\(a) Use the reduced matrix to find the general solution of the system, if one exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.)\\$(x, y, z) = ($\\(b) If multiple solutions exist, find two specific solutions. (Enter your answers as a comma-separated list of ordered triples. If there is no solution, enter NO SOLUTION.)\\$(x, y, z) = $

A system of linear equations and a reduced matrix for the system are given.

x - y + z = 3
3x + 2z = 7
x - 4y + 2z = 5 < b m a t r i x > < b m a t r i x >
(a) Use the reduced matrix to find the general solution of the system, if one exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.)
(x, y, z) = (
(b) If multiple solutions exist, find two specific solutions. (Enter your answers as a comma-separated list of ordered triples. If there is no solution, enter NO SOLUTION.)
(x, y, z) =

Added by Marc J.

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