The values of and for which the system of linear equation, and has infinitely many solution. The values respectively are,
and
Evaluate the values of the given variable based on system of linear equations
Given, and
As it is known that these lines have infinitely many solutions, so we can say that,
So, according to the equations,
Applying transformation along the rows,
Also, it is given that,
Again, applying transformation along the rows,
Therefore, .
Thus, option (B) is the correct answer.