Question

Consider the 2 by 2 system, which of the following statements is true?

A) There is a unique solution
B) It has no solution
C) It has infinite solutions
D) It is not a linear system

Answer 1

The answer is A) There is a unique solution.

Step-by-step explanation:

The answer to the given question is A) There is a unique solution.

In a 2 by 2 system of linear equations, it can have one of three possibilities:

1. If the system has a unique solution, it means that the two lines represented by the equations intersect at a single point. This occurs when the lines are neither parallel nor coincident.
2. If the system has no solution, it means that the two lines represented by the equations are parallel and never intersect. This happens when the lines have the same slope but different intercepts.
3. If the system has infinite solutions, it means that the two lines represented by the equations are coincident and always intersect at every point. This occurs when the two lines have the same slope and the same intercept.

Based on these possibilities, the correct answer is A) There is a unique solution.