Option (c) is correct.
The system is Inconsistent.
Given : A pair of lines.
We have to identify the system by type.
Consider the given system of pairs of lines.
Since, the graph shows two parallel lines.
1) Consistent : A system of linear equation is said to be consistent if the graph of equation either intersect at a single point or two lines overlap each other.
that is a unique solution or infinite many solution.
2) equivalent : When two system of equations have same solution then the two system are said to be equivalent.
3) Inconsistent : A system of linear equation is said to be inconsistent if the graph of equation are parallel to each other.
Thus, the given graph shows parallel lines,
Hence, The system is Inconsistent