Provide a constructive response, and avoid critiques to the following. Task 1: Discuss the following nature of the solution of the system with examples. I. Consistent Regarding the nature of consistent solutions this is something that can be explained by first explaining how a system of linear equations works. A system of linear equations is what consists of two or more linear equations and it is also made up of two or more variables. This in turn, means that all of the equations in the system are considered simultaneously. A consistent system is one that also can be considered a dependent system if the equations have the same slope and the same y-intercepts. The lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system and this also means there are an infinite number of solutions. (Abramson, 2023). So a system of equations is consistent if it has at least one solution and there is at least one set of values for the variables that satisfies all of the equations in the system. For example, x + y = 5 and 2x + 2y = 10 II. Inconsistent In order to explain the nature of the solution of inconsistent systems, it can be said that a system of equations is inconsistent if it has no solutions and there is no set of values for the variables that will satisfy all the equations in the system. (Abramson, 2023). An example of this would be when equations represent two parallel lines. There are no points common to