What Is System of Equations?
A system of equations is a group of two or more equations that all use the same variables, where a solution must satisfy every equation at once. Graphically, solving a system of two linear equations means finding the point (or points) where their lines intersect. Systems can have exactly one solution, no solution (parallel lines), or infinitely many solutions (the same line written two ways).
Example
The system x + y = 10 and x − y = 2 has the solution x = 6, y = 4, since 6 + 4 = 10 and 6 − 4 = 2 both hold true.