The augmented matrix for the system is

	3	1	10
	0.3	0.1	1

The following steps reduce the matrix, beginning with the "clear-the-decimals step:"

3 1 10 0.3 0.1 1 10 R2

3 1 10 3 1 10 R2 + R1

3 1 10 1 3 R1 0 0 0

1 1/3 10/3 0 0 0 .