Respuesta :
The correct answer is:
d) The system can only be dependent and consistent.
Explanation:
In order for the solution to a system of equations to be a line, this means that the lines must lie on top of one another. This means they are the same line; the system is consistent since there is at least one solution, and dependent since all of the points in one equation work for the other equations as well.
Option (D) the system can only be dependent and consistent is the correct answer.
What is a system of equation?
A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns
For the given situation,
An infinite number of solutions represents a line or coincident plane that serves as the intersection of three planes in space.
This means that the lines must be lie on top of one another. Then, the lines are the same and the system is consistent.
Since all the points in one equation work for the other equations as well, there is at least one solution and that is dependent.
Hence we can conclude that option (D) the system can only be dependent and consistent is the correct answer.
Learn more about the system of equations here
https://brainly.com/question/12760602
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