SOLUTION: 3. Solve the given system by Augmented Matrix Method (row operations) 3x1 - 2x2 = 2 5x1

SOLUTION: 3. Solve the given system by Augmented Matrix Method (row operations) 3x1 - 2x2 = 2 5x1 - 5x2 = 10

Question 1156104: 3. Solve the given system by Augmented Matrix Method (row operations)
3x1 - 2x2 = 2
5x1 - 5x2 = 10
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

There is an endless number of ways to do this....

First objective: get a 1 in row 1, column 1. I choose to do that by dividing the second row by 5 and switching rows.

Next objective: 0 in row 2, column 1. Only one way to do that and keep the 1 in row 1 column 1. Replace row 2 with (row 2) minus (3 times row 1).

Next objective: 1 in row 2 column 2. No work needed -- it's already there.

Last objective: Again only 1 way to do it without changing the entries we have already fixed -- replace row 2 with (row 2) plus (row 1).

The solution is (-2,-4)

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