#### Answer

See explanations.

#### Work Step by Step

In a Gauss-Jordan elimination, the matrix for the variables contains only 0's and 1's with 1's lined up diagonally (echelon form); it gives the complete solution set of the system straight away.
In a Gaussian elimination method, only the bottom left half of the variable matrix will be zeros and the last equation gives an answers to one variable. To obtain the value of other variables, a back-substitution method will be needed.