Solution:
Given,,
.
Here, .
And .
The given equations are consistent if,
⇒ ⇒
⇒
⇒ Also, .
⇒ ⇒
⇒ ⇒ or
But is not possible.
Therefore, is the correct value for infinitely many solutions.
Hence, the correct option is 2.
For what value of the system of the following linear equations has infinitely many solutions?
and .