SOLUTION: Determine the values of k such that the system of linear equations does not have a unique solution. (Enter your answers as a comma-separated list.)
x
+
y
+
Algebra.Com
Question 658850: Determine the values of k such that the system of linear equations does not have a unique solution. (Enter your answers as a comma-separated list.)
x
+
y
+
kz
=
9
x
+
ky
+
z
=
6
kx
+
y
+
z
=
5
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Add all three equations together. You'll get:
...........1
............2
.................3
________________________________
....when , then , and that will be if
which is , meaning there are , and therefore solutions if
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