Write a linear system corresponding to the given augmented m

Write a linear system corresponding to the given augmented matrix. (6 2 -3 4 1 | 0 5 0 0 1 200| 2)

Solution

Number of colums represent the number of vairables
Number of rows represent the number of equations
The colum to the right represent the RHS values of the equations

Thus consider a, b, c, d, e to be the five variables
The linear system of equations would be:
6a + 2b -3c + 4d + e = 0 and
5a + 0b + 0c + d + 200 e = 2 which is 5a + d + 200 e = 2
Thus the linear system corresponding to the given augmented matrix is
6a + 2b -3c + 4d + e = 0
5a + d + 200e = 2