Pivot the system about the element in row 2, column 1. (enter the augmented matrix with all cells in their original position.)

3 3 | 6

4 3 | 5

We have the system

The augmented matrix of the system is

Pivot the system means to use row operations for find the echelon form of the augmented matrix.

Then,

1. In the second row of A we subtract 4/3 from the first row. We obtain:

Then B is the echelon form of A.

We use backward substitution to find the set of solutions.

1.

2.

The system has unique solution

18.75 gallons

step-by-step explanation: