SOLUTION: For what values of k will the system of equations be inconsistent? x=6y+6 kx-3y=6 work shown needed please.

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Question 159921: For what values of k will the system of equations be inconsistent?
x=6y+6
kx-3y=6

work shown needed please.

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
For a system of linear equations to be inconsistent, the determinant equals zero.
+x-6y=-6
kx-3y=6
The determinant is %281%29%28-3%29-%28k%28-6%29%29=-3%2B6k=0
6k=3
k=%281%2F2%29