SOLUTION: Could you please solve this for me using cramer's rule...I have tried 3 times and I keep getting different answers, and none of them are the given answers. -x-4y-z=-3 -2x+2y-6z

Question 42078: Could you please solve this for me using cramer's rule...I have tried 3 times and I keep getting different answers, and none of them are the given answers.
-x-4y-z=-3
-2x+2y-6z=-3
-x-4y-z=-3
She said that the first and the third equation are a hint...I'm confused please help!
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
The first and the last equations are same.
So you have only 2 equations and 3 unknowns to solve.
2 equations are not sufficient to determine uniquely 3 unknowns.
so the system of equations is inconsistent.

Further, the determinant
|-1 -4 -1|
|-2 2 -6|
|-1 -4 -1|
is zero as its first and third rows are identical.
So Crammer's rule is not applicable and there is no solution.
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