Step 1: Concept
When two equations have the same slope but different y-axis, they are parallel. Since there are no intersection points, the system has no solutions.
Step 2:
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent.
Step 3:
Point1: a system of linear equations: A set of two or more equations made up of two or more variables that are considered simultaneously.
Point2: dependent system: A system of linear equations in which the two equations represent the same line; there are an infinite number of solutions to a dependent system.
Point3: inconsistent system: A system of linear equations with no common solution because they represent parallel lines, which have no point or line in common.
Point4: independent system: A system of linear equations with exactly one solution pair (x,y).
Final answer
None of the above