Systems of equations

A system of equations is a set of two or more equations with the same variables. Solving this system means finding the values of the variables that satisfy all equations simultaneously. Think of it like solving a puzzle where each equation provides a clue; the solution is where all clues fit together. Methods include graphing to find the intersection point(s), or algebraic techniques like substitution and elimination to find the exact solutions. Systems of equations are useful in real-world scenarios such as calculating costs, predicting trends, or understanding relationships between different quantities.