6x + 24y + -72z 96 14x 56y + -168z = 224 -20x + -80y + 240z = -320 The augmented matrix for the above linear system is This has reduced row echelon form and hence the general solution for the system in vector form is: (Note: if you do not need all the free variable vectors fill in the unnecessary vector(s) with -O' in each of its positions.)

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