Is it possible for a system of linear equations to have exactly two solutions?

Solution:

The system of linear equations refers to the solution set of various linear equations.

Go through the explanation to understand the detailed analysis of the statement mentioned.

No. A consistent system can either be dependent (both equations represent the same line) or independent. Thus, in an independent system, the lines intersect at exactly one point, which means there is exactly one solution. A dependent system has an infinite number of solutions. An inconsistent system has no solution, so no system of linear equations can have exactly two solutions.

Is it possible for a system of linear equations to have exactly two solutions?

Summary:

No, a system of linear equations cannot have exactly two solutions.