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

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


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

matrix%282%2C3%2C3%2C-2%2C2%2C5%2C-5%2C10%29

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.

matrix%282%2C3%2C1%2C-1%2C2%2C3%2C-2%2C2%29

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).

matrix%282%2C3%2C1%2C-2%2C2%2C0%2C1%2C-4%29

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).

matrix%282%2C3%2C1%2C0%2C-2%2C0%2C1%2C-4%29

The solution is (-2,-4)