a The value of k for which x-ky -2, 3 x + 6y = -5 has infinite solution
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a The value of k for which x-ky -2, 3 x + 6y = -5 has infinite solution
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Answer:
The system of equations consist equations of two straight lines.
So, the system have infinite no. of solution if the lines are coincident.
Two lines ax+by=c and px+qy=r are coincident if,
p
a
=
q
b
=
r
c
For the given equations,
3
1
=
6
−k
=
6
2
3
1
=
6
−k
=
3
1
⇒−3k=6
k=−2