Answer:

Option (2) is correct.

The given system of equation is Consistent and independent.

Step-by-step explanation:

  •  coincident : When two lines overlap each other. then they are coincident lines.
  • Inconsistent:  When there is no solution for the given system of equations then the system is called “inconsistent”.
  • Consistent : When there is one or infinitely many solutions for the given system of equations  is called “consistent”.
  • Independent : When each equation of the system gives new information Otherwise they are  called Dependent. like x + y = 2 and 2x + 2y =4 this shows one equation is multiple of other hence, dependent.

Now consider the given graph,

Since, they intersect at a unique point. Hence, they are consistent.

Also the two given equations are independent of each other .Thus, independent also.

Thus, the given system of equation is Consistent and independent.

Thus, option (2) is correct.