Write the system of equations corresponding to the augmented matrix using the variables x, y, and z.
0 10 6 –5
3 8 – 9 7
– 5 0 – 3 –4
The first three columns stand for the coefficient of x, y and z respectively. The fourth column represents the right hand side.
I'll do the first equation. If you wish, you could post the other two for a check.
0x + 10 y + 6z = -5
The system of equations corresponding to the augmented matrix is:
0x + 10y + 6z = -5
3x + 8y - 9z = 7
-5x + 0y - 3z = -4
To write the system of equations corresponding to the augmented matrix, we can assign the variables x, y, and z to the columns of the matrix.
The given augmented matrix is:
[ 0 10 6 | -5 ]
[ 3 8 -9 | 7 ]
[ -5 0 -3 | -4 ]
We can assign the variables as follows:
0x + 10y + 6z = -5
3x + 8y - 9z = 7
-5x + 0y - 3z = -4
Therefore, the system of equations corresponding to the augmented matrix is:
0x + 10y + 6z = -5
3x + 8y - 9z = 7
-5x + 0y - 3z = -4