We have seen examples of systems of linear equations that have no solutions, one unique solution, and infinitely many solutions. is it possible for a system of linear equations to have exactly two solutions?

It is not possible for a system of linear equations to have exactly two solutions.

Step-by-step explanation:

A system of linear equations is composed of multiple equations that describe straight lines. Two straight lines can be parallel (which means that the system has no solutions), they can intersect at a single point (one solution), or they can be congruent (all points are shared by both lines, infinite solutions). Therefore, a linear system cannot have exactly two answers. At least one of the equations in the system would have to be quadratic in order to achieve exactly two answers.

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