Answer:
Its D
Step-by-step explanation:
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The system of (1, 0, 1) of three linear equations can only be independent and consistent which is correct option(C).
The system of linear equations is defined as a collection of two or more linear equations is a system of linear equations. The graph of a system of two equations is a pair of lines in the plane for two variables (x and y). Three alternatives exist: The lines meet at zero-point intersections.
Given that (1, 0, 1) is a solution to a system of three linear equations
A system is either reliable or unpredictable. It is not possible to have both at once. Literally, the word "inconsistent" means "not consistent.". We can discard option (A).
We cannot have a system that is both independent and reliant, which is similar to option A. A system can either be independent or dependent, not both. When two equations are independent, it signifies that they are not connected, whereas dependent equations are some multiple of one another. We can reject option (B).
Once more, we lack sufficient data to say if the system is independent or dependent, but at least we know it is consistent. One or more solutions exist for consistent systems. As a result, part of option (C) can be correct. It must be the definitive solution because it is the only thing remaining.
Hence, the system of (1, 0, 1) of three linear equations can only be independent and consistent.
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