Posted by **Cody** on Saturday, October 22, 2011 at 2:37pm.

For what value of k will the system be dependent?

x+3y+2z=-4

3x+4y-z=2

3x-y-8z=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.

- Math Investigations II -
**Steve**, Saturday, October 22, 2011 at 3:01pm
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 = 2-k

(3*1)-(2): 5y+7z = -14

So, if 2-k = -14, the system is dependent

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