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