Simultaneous Equations (Two linear)
Simultaneous equations involving two linear equations provide a method to determine the values of two unknowns that satisfy both equations simultaneously. These equations typically represent straight lines, and their solutions correspond to the point of intersection of these lines. There are three possible outcomes: a unique solution when the lines intersect at a single point, no solution when the lines are parallel, and infinitely many solutions when the lines overlap entirely. Common methods for solving include substitution, elimination, and graphical representation. Each approach highlights the interplay between algebraic and geometric perspectives, offering practical tools for solving real-world problems where two conditions must be satisfied simultaneously.