Final answer:
The augmented matrix for the given system of equations is [0 4 | -32] [8 0 | 119] [23 2 | 30].
Step-by-step explanation:
To write the augmented matrix for the given system of equations, we can take the coefficients of the variables and the constants on the right-hand side. The system of equations is:
4y = -32
8y - 32 = 87
23 + 2 = 30
We can rearrange the second equation to get 8y = 119. Then, we can write the augmented matrix as:
[0 4 | -32]
[8 0 | 119]
[23 2 | 30]