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