Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)
4x − y = 9
x + y = 4
4 -1| 9
1 1 | 4
To write the augmented matrix for the system of linear equations, we can write the coefficients of the variables along with the constants in a matrix form. The augmented matrix is written as:
[ 4 -1 | 9 ]
[ 1 1 | 4 ]
In this matrix, the coefficients of the variables x and y are arranged on the left side of the vertical line, and the constants are arranged on the right side.
To form the augmented matrix for the given system of linear equations, we can write the coefficients of the variables with the constant terms as follows:
4x - y = 9 --> [ 4 -1 | 9 ]
x + y = 4 --> [ 1 1 | 4 ]
Therefore, the augmented matrix for the given system of linear equations is:
[ 4 -1 | 9 ]
[ 1 1 | 4 ]