SOLUTION: Alright, I do my homework on my math lab and it has an option called "show me how." This is the problem, Use the Gauss-Jordan method if the system has infinitely many solutions, gi

Question 378575: Alright, I do my homework on my math lab and it has an option called "show me how." This is the problem, Use the Gauss-Jordan method if the system has infinitely many solutions, give the solutions, z arbitrary.
x-5y+4z+1
3x-2y+3z=-2
Now i get down to here(just imagine there are brackets around these because i'm not able to put them in but they are matrices).
1 -5 4 | 1
0 1 -9/13 |-5/13
now i'm confused on what to do from here, i understand that i need to turn the -5 in to a 0 but the computer keeps telling me i'm wrong. so please don't skip any steps whatsoever.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Add 5 times the second row to the first to get the new matrix

1              0        7/13     | -12/13
0              1       -9/13     | -5/13

Now the matrix is in reduced row echelon form (ie we can't do any more steps)

So the first line means that

. Multiply EVERY term by the LCD 13 to get

and then solve for 'x' to get

The second line means that

. Multiply EVERY term by the LCD 13 to get

and then solve for 'y' to get

So the solution as an ordered triple is in the form

where 'z' is any arbitrary real number.

Because 'z' can be any real number, this means that the system has an infinite number of solutions.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
RELATED QUESTIONS
SOLVE THE SYSTEM USING THE GAUSS-JORDAN METHOD PROBLEM: 2x-3y= -2 x+2y= 13 (answered by stanbon)

Do not use negative exponents y^-5*y. I had worked this problem out and got it wrong on... (answered by Alan3354)

In math were doing 7th grade combining like terms. On my homework I got stuck on a... (answered by richard1234,Hawksfan)

Please help me help my kiddo. I don't know what the Gauss=Jordan method is. Thanks so... (answered by htmentor)

I have to use the gauss-jordan method to solve this problem, but i don't understand how... (answered by shree840)

Good morning my name is Keneshia and I really need help on this problem please. Using... (answered by LinnW)

Can someone show me how to work the following problem and graph it? I am trying to... (answered by stanbon,solver91311)

5) A tennis club offers two payment options: Option 1: $42 monthly fee plus $5/hour for (answered by Theo)

This is the last problem on my review and I spent 3 hours at math lab tonight and didn't... (answered by richard1234)