Final answer:
The augmented matrix for the given system of equations: 8x - 8y + 3z = 15, 9x - 5z = 6, and 7y + 7z = 9 is written by aligning the coefficients of like terms and constants in a matrix format.
Step-by-step explanation:
To write the augmented matrix for the system of equations given, you align the coefficients of like terms and the constants in columnar form, including zeros for any missing variables. The given system of equations is:
- 8x - 8y + 3z = 15
- 9x + 0y - 5z = 6
- 0x + 7y + 7z = 9
The corresponding augmented matrix is:
[
8 -8 3 | 15
9 0 -5 | 6
0 7 7 | 9
]