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Homework Statement
just started this semester, any help will be appreciated.
4x + 12y - 7z - 20w = 22
3x + 9y - 5z - 28w = 30
solve the system
Homework Equations
well since I have more variables than equations I know there's an infinite number of solutions therefore I am going to have to use parameters later on. (BTW can someone give me tips on how to do parameters?)
The Attempt at a Solution
I have my matrix as follows
4 12 -7 -20 22
3 9 -5 -28 30
multiplying row_2 by -1 and adding it to row_1 I get
1 3 2 8 -8
3 9 -5 -28 30
multiplying row_1 by -3 and adding it to row_2 yields
1 3 2 8 -8
0 0 -11 -52 -54
then what? if I divide by 11 I start getting fractions, and the answer in the back doesn't have any fractions.
AFAIK you have to make the first one in each row 1 and have a zero below it. (condition on row_1 is met)