Hello Titus,
Since the given system of linear equations has three equations and three variables; x, y, and z respectively; it follows that the augmented matrix will be made up of the coefficients of x in the first column, coefficients of y in the second column, coefficients of z in the third column, and the constants on the right of the equal sign on the fourth column. Hence the following 3x4 matrix:
⌈8 1 7 | 6⌉
|9 0 3 | 6|
⌊9 7 7 | -1⌋
Note: limited syntax options on this platform make it difficult to display an augmented matrix