SOLUTION: I have worked this problem about 5 times and the answers I get do not satisfy each equation. Could someone please tell me if this equation is inconsistent?? Solve this system of e

Question 24670: I have worked this problem about 5 times and the answers I get do not satisfy each equation. Could someone please tell me if this equation is inconsistent??
Solve this system of equations, when possible:
x-y+z=7
2x+5y-4z=2
-x+y-z=4
these are the answers I got, but do not satify each equation!
x=-4, y=-6, z=10
x=10, y=6, z=-3
I then multiplied 1)by -2 and 3)by 2 and added them seperatley to 2) and got answers of: 7y-6z=10 and 7y-6z=-12
I then subtracted them and got: 0=-2
which is and inconsistent system, right??!!
Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If you add the 1st and 3rd equations you get 0=11.
What does that tell you about the system of equations?
Cheers,
Stan H.
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