SOLUTION: The value of K for which the system of linear equations 2x+y+2=0 X+ky+2z=0 X+y+2=0

Question 1075059: The value of K for which the system of linear equations
2x+y+2=0
X+ky+2z=0
X+y+2=0
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Typo suspected.
Did you need to know the values of k
that caused the system to have one solution?
As posted, the system has one solution for each value of k.
There is no value of k that causes a different result.

If your first equation was really
,
and your last equation was really
,
subtracting the last one from the first one,
you get .
Substituting that value for in either equation,
you get ---> .
Then, substituting in the second equation
the values found for and ,
you get ---> .
RELATED QUESTIONS
Determine the value of k for which the system of linear equations 2x−y =5 6x+ky=2 (answered by MathLover1)
Determine the value of k for which the system of linear equations 2x − y = 4 6x... (answered by ikleyn)
The value of k for which the system the equations x+5y=0, and 3x+ky=0 has nonzero... (answered by ikleyn)
8. Determine the values of k such that the system of linear equations is consistent... (answered by ikleyn)
determine the value of k for which the system of linear equations has no solution:... (answered by vleith)
Determine the value of k for which the system of linear equations has no solution. 2x -... (answered by Fombitz)
Determine the value of k for which the system of linear equations has no solution. 2x - (answered by shweta)
Determine the value of k for which system of linear equation has no solution. 2x-y=3... (answered by MathLover1,Edwin McCravy,chandrak)
Given: X + ky = 2 Y = 2x - 4 At what value of k will make the system dependent?... (answered by Fombitz)