SOLUTION: How do I solve this system using an augmented matrix? –x – 3y = –17 2x – 6y = –26

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Question 1059714: How do I solve this system using an augmented matrix?
–x – 3y = –17
2x – 6y = –26
Answer by ikleyn(52840)   (Show Source): You can put this solution on YOUR website!
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How do I solve this system using an augmented matrix?
–x – 3y = –17
2x – 6y = –26
~~~~~~~~~~~~~~~~~~~

Solution set: 
x1 = 2
x2 = 5


Your matrix

№	X1	X2	b
1	-1	-3	-17
2	2	-6	-26

Find the pivot in the 1st column in the 1st row (inversing the sign in the whole row)

№	X1	X2	b
1	1	3	17
2	2	-6	-26

Multiply the 1st row by 2

№	X1	X2	b
1	2	6	34
2	2	-6	-26

Subtract the 1st row from the 2nd row and restore it

№	X1	X2	b
1	1	3	17
2	0	-12	-60

Make the pivot in the 2nd column by dividing the 2nd row by -12

№	X1	X2	b
1	1	3	17
2	0	1	5

Multiply the 2nd row by 3

№	X1	X2	b
1	1	3	17
2	0	3	15

Subtract the 2nd row from the 1st row and restore it

№	X1	X2	b
1	1	0	2
2	0	1	5


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