Understand that solutions to a system of two linear equations correspond to points of intersection of their graphs

What you'll learn

1. Explain that a solution to a system of two linear equations is an ordered pair (x, y) that makes both equations true simultaneously
2. Graph two linear equations on the same coordinate plane and identify their point of intersection as the solution to the system
3. Verify that the intersection point satisfies both equations by substituting its coordinates into each equation
4. Classify a system of two linear equations by the number of solutions (one solution, no solution, or infinitely many solutions) based on the behavior of the two lines
5. Explain why graphing can produce imprecise solutions when the intersection point has non-integer coordinates, and recognize the need for algebraic methods

Prerequisites

• Analyze and solve pairs of simultaneous linear equations