The augmented matrix for the system is

	1 2	-	5 2	1
	3 5		1	1

To clear the fractions in the first row, choose the lowest common denominator of 2, and so multiply the first row by 2. In the second row, the lowest common denominator is 5, so multiply Row 2 by 5. This gives

1 2  - 5 2 1 2 R1 3 5 1 1 5 R2

1 -5 2 3 5 5

The matrix on the right is one possible correct answer. Other correct answers involve multiples of the rows. For example,

	2	-10	4
	9	15	15

is also correct.

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