SOLUTION: For what value(s) of k is x1 - x2 = 3k -2x1 + 3x2 = k - 2 consistent?

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Question 305444: For what value(s) of k is
x1 - x2 = 3k
-2x1 + 3x2 = k - 2
consistent?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%282%2C2%2C1%2C-1%2C-2%2C3%29%29
[x]=%28matrix%282%2C1%2Cx1%2Cx2%29%29
[b]=%28matrix%282%2C1%2C3k%2Ck-2%29%29
[A][x]=[b]
.
.
.
[A]inv=%28matrix%282%2C2%2C3%2C1%2C2%2C1%29%29
.
.
.
[x]=[A]inv[b]=
[x]=%28matrix%282%2C1%2C10k-2%2C7k-2%29%29
.
.
.
The system is consistent for all values of k.