Final answer:
The augmented matrix for the system of equations is [[-2, -2, 5, 1], [-5, -5, 1, 4], [9, -2, 2, -1]].
Step-by-step explanation:
The augmented matrix for the given system of equations is:
[[-2, -2, 5, 1], [-5, -5, 1, 4], [9, -2, 2, -1]]
The augmented matrix is formed by organizing the coefficients and constants of the variables in the system of equations into a rectangular array, where each equation corresponds to a row and the variables are ordered in columns.
The coefficients are placed in the leftmost columns, followed by a vertical line, and then the constants are placed on the right side.