Math Investigations II
posted by Cody .
For what value of k will the system be dependent?
x+3y+2z=4
3x+4yz=2
3xy8z=k
I'm confused as to what exactly it's asking for by a dependent system. I know this is a system with infinite solutions, but I don't know how to find that in 3 dimensions.

If one equation is just a multiple of another one, then the two are equations are dependent
Any row manipulations normally used are allowed
(2)(3): 5y+7z = 2k
(3*1)(2): 5y+7z = 14
So, if 2k = 14, the system is dependent