Answer:
The linear system shown is inconsistent in nature.
Step-by-step explanation:
The given or represented linear system represents two parallel lines.
Now, the solution set of the two system of equations can be find by finding their points of intersection.
And if the lines do not intersect then it is said the linear system of the two lines do not have any solution.
Now, we are given two parallel lines and parallel lines never intersect each other. So the solution set of both the system of equations represented by these parallel lines is an empty set.
And if the system of linear equation has no solution , then the system is said to be inconsistent.
Hence, The linear system shown is inconsistent in nature.