Question

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

Answer 1

Nope. A consistent system is either dependent (both equations represent the same line) or independent. So in an independent system, the lines intersect in 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.

Answer 2

No. Let's say you have to have two solutions: one solution matching at least one of the equations in a system, and no solution matching the entire system as a whole. No matter what ( i think ;( ) two of the equations will intersect and there can't include no solution with it. do u get itttt?

Explanation: