Question

Linear Algebra: System of Linear Equations. How do I solve for variables in the denominator?
Example such as the system of linear equations:
(2/x)+ (3/y)+ (4/z)= 1
(9/x)+ (4/y)- (4/z)= 0
(7/x)+ (9/y)- (3/z)= 6

Answer 1

doesnt matter; same process only instead of =x, you do =1/x

Answer 2

That is where I am a bit confused. How would I type the augmented matrix?

Answer 3

2 3 4 1
9 4 4 0
7 9 3 6

id assume

Answer 4

You assume. Alright, thank you for trying.

Answer 5

i forgot the negatives :)

Answer 6

the wolf rrefs it to:

http://www.wolframalpha.com/input/?i=rref%7B%7B2%2C+3%2C+4%2C+1%7D%2C%7B9%2C+4%2C+-4%2C+0%7D%2C%7B+7%2C+9%2C+-3%2C+6%7D%7D

sooo:

x^-1 = -144/257

y^-1 = 263/257

z^-1 = -61/257