Can someone help me understand the difference between constant inconsistent and equivalent pair of lines???

Question

anonymous · Answer

@texaschic101 can u help me understand this a little?

mathstudent55 · Answer

An inconsistent pair of lines is a pair of lines that graphs as two parallel lines. Since they do not intersect, there is no common point and no solution. The reason it is called inconsistent is that a point can be the solution to one of the equations or to the other or to neither, but it can't be a solution to both of the equations.

An equivalent pair of lines is when you are given two equations, and then by simplifying one or both equations, it turns out you only have one equation. When you graph it, you have one line on top of the other line. The two lines are the same single line. Every point that is the solution to one line is also a solution to the other line. Since you have two variables and only one equation, there is an infinite number of solutions which is the entire line.

anonymous · Answer

would this be equivalent than?

anonymous · Answer

|dw:1374809337214:dw|