Final answer:
To solve this linear system using the Gaussian-Jordan method, we can start by writing the system as an augmented matrix. Next, we can perform row operations to transform the matrix into reduced row-echelon form. The solution to the system is x = -5/3 and y = -2/3.
Step-by-step explanation:
To solve this linear system using the Gaussian-Jordan method, we can start by writing the system as an augmented matrix.
[ -4 -3 | 15 1 1 | -9 ]
Next, we can perform row operations to transform the matrix into reduced row-echelon form.
[ 1 0 | 3 0 1 | -5/3 ]
The solution to the system is x = -5/3 and y = -2/3. Therefore, the solution to the linear system is (x, y) = (-5/3, -2/3).