Question

A system of three linear equations in three variables is inconsistent if their planes         a)intersect only at a point              b)intersect in a line              c)coincides with each other              d)do not intersect​

Answer 1

$\huge{\underline{\mathtt{\blue{A}\red{N}\pink{S}\green{W}\purple{E}\orange{R}}}}$

Step-by-step explanation:

(d) do not intersect

Answer 2

Answer:

The correct answer is (d) do not intersect.

Step-by-step explanation:

Three-dimensional space's three planes are represented by a system of three linear equations in three variables. The intersection of all three planes is where the system finds its solution.

The system has a singular solution and is consistent if the planes connect at a single location.

The system has an infinite number of solutions and is consistent if the planes connect in a straight line.

There are an endless number of solutions to the system, and the system is consistent if the three planes coincide.

The system cannot be solved if the three planes do not connect because then there is no common point of intersection. The system is alleged to be contradictory in this instance.

Therefore, the correct answer is (d) do not intersect for a system of three linear equations in three variables to be inconsistent.

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