<h2>
Answer:</h2>
Option: B is the correct answer.
B. x+y=4
<h2>
Step-by-step explanation:</h2>
The equation of the line H is given by:
i.e. on dividing both the side of the equation by 2 we get:
Now, in order for a system to have infinite many solution the two lines must intersect infinite times.
A)
Now, when we subtract equation(1) from this equation we have:
and
i.e. the solution is : (6,-2)
i.e. the system has a unique solution.
B)
This equation is similar to equation (1).
Hence, the system has infinite many solution.
C)
When, we subtract equation (1) from this equation we have:
and
Hence, the system has a unique solution.
D)
On adding this equation to equation (1) we get:
and
Hence, the solution is unique i.e. (6,-2)