Pair of Linear Equations in Two Variables

A pair of linear equations in two variables consists of two equations, each representing a straight line in a two-dimensional plane. Typically expressed in the form ax + by = c, these equations can be solved using various methods, such as substitution, elimination, or graphical representation. The solution to the system is the point of intersection of the two lines, which can yield one unique solution, no solution (parallel lines), or infinitely many solutions (coincident lines).