# Thread: Determine the value of k such that the system is consistent.

1. ## Determine the value of k such that the system is consistent.

Determine the value of k such that the system of linear equations is consistent.

kx+y=0
x+ky=1

My test is Thursday and tutors at school couldn't help, neither will teacher. Thank you!

2. ## Re: Determine the value of k such that the system is consistent.

Originally Posted by djengineer
Determine the value of k such that the system of linear equations is consistent.
kx+y=0
x+ky=1
Using the determinate find the values of k such that
$\left| {\begin{array}{*{20}c} k & 1 \\ 1 & k \\ \end{array} } \right| \ne 0$

3. ## Re: Determine the value of k such that the system is consistent.

Can you please explain step-by-step? I know what a determinant is, but don't understand how I use it in this problem to solve.

4. ## Re: Determine the value of k such that the system is consistent.

Originally Posted by djengineer
Can you please explain step-by-step? I know what a determinant is, but don't understand how I use it in this problem to solve.
Please understand that this is not a homework service nor is it a tutorial service. There is clearly some kind of misunderstand going on here.
You posted this in a linear algebra forum. Determinants are part of any linear algebra course. Have you looked in your lector notes or text material?
You can also use recourses from the web.

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# finding the value of k when system of euation is consistent

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