Solve the system of equations using an augmented matrix and row reduction operations.

First we create the augment matrix for this system and enter it into **[A]** in the TI83/84 calculator. The augmented matrix is:

From the home screen, re-enter the matrix menu .** RIGHT ARROW** once to **MATH.** **ARROW DOWN **to** B:rref,** then press **ENTER.**

Re-enter the matrix menu and select **1:[A]**, then press **ENTER.** Press **)** and then press** ENTER.** The results of the row operations is displayed.

Thus, we have **x = 0.25, y = 1.125** and** z = 1.5**.

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