Question

3) What is the nature of the graphs of a dependent system?
A) Parallel lines
B) Perpendicular lines
C) Intersecting lines
D) Coincident lines​

Answer 1

Step-by-step explanation:

coincident lines,

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.

Answer 2

Answer:

D) Coincident lines​

Step-by-step explanation:

To Find :- The nature of the graph of a dependent system.

Solution :-

If two equations depict the same line, and those lines intersect an infinite number of times that is lie on top of one another then the system is dependent and consistent.

The word ‘coincide’ means something that occurs at the same time. Coincident lines are those lines that lie upon each other in such a way that when we look at them, they appear to be a single line instead of double or multiple lines. Two lines that lie exactly on top of each other or in other words one line is lying exactly on top of another line then those lines are called coincident lines.

Therefore, the correct option is D) Coincident lines.

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