## Algebra and Trigonometry 10th Edition

The reduced row-echelon form of the matrix is: $\begin{bmatrix} 1 & 0 & 0 & 2 & |0\\ 0 & 1 & 0 & 1 & |0\\ 0 & 0 & 1 & -1 & |0\\ \end{bmatrix}$ We can write the solution as: x + 2w = 0 y + w = 0 z - w = 0 We then can write the system in terms of w: x = -2w y = -w z = w To not use one of the variables in the system we can use a: x = -2a y = -a z = a w = a Where a is any real number