If there is nothing common between the two equations then it can be called as inconsistent. ... Yes, Equation x + y = 6 does have many solutions but both of the equations have one solution in common i.e., if x = 4 and y=2 then both equations have true solutions.

How do you find the inconsistent equation?

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

What is the solution set to an inconsistent system of equations?

A solution set is the set of all the intersection points of the equations in the system. A solution set can have a finite number of solutions, an infinite number of solutions, or no solution. When the system has no solution, we say that the system is inconsistent.