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Mathematics
Problem
For the system
x
+
y
+
z
=
3
,
2
x
+
2
y
+
2
z
=
6
,
k
x
+
3
y
+
3
z
=
9
,
x + y + z = 3, \quad 2x + 2y + 2z = 6, \quad kx + 3y + 3z = 9,
x
+
y
+
z
=
3
,
2
x
+
2
y
+
2
z
=
6
,
k
x
+
3
y
+
3
z
=
9
,
determine the value of
k
k
k
for which the system possesses infinitely many solutions. a)
0
0
0
b)
6
6
6
c)
3
3
3
d)
1
1
1
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