# Chapter 10 - 10.1 - Matrices and Systems of Equations - 10.1 Exercises - Page 711: 81

x = 1 y = 0 z = 4 w = -2

#### Work Step by Step

The reduced row-echelon form of the matrix is: $\begin{bmatrix} 1 & 0 & 0 & 0 & |1\\ 0 & 1 & 0 & 0 & |0\\ 0 & 0 & 1 & 0 & |4\\ 0 & 0 & 0 & 1 & |-2\\ \end{bmatrix}$ From reduced row-echelon form the solution is simple: x = 1 y = 0 z = 4 w = -2

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