Solve systems of linear equations

What you'll learn

1. Solve a system of two linear equations in two variables using the graphing method (approximately) and interpret the intersection point
2. Solve a system using the substitution method (exactly) and verify the solution satisfies both equations
3. Solve a system using the elimination method (exactly), applying the theorem from REI.C.5 to justify each step
4. Identify the three possible solution types — one solution (consistent independent), no solution (inconsistent), infinitely many solutions (consistent dependent) — and explain their geometric meaning
5. Choose the most efficient method for a given system and apply it correctly

Prerequisites

• Solve linear equations and inequalities
• Prove system equivalence