Let's explore how to graphically determine the solution to a system of linear equations. You will learn the different possible solutions scenarios and how to check that solution.
TEKS Standards and Student Expectations
A(3) Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:
A(3)(F) graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist
A(3)(G) estimate graphically the solutions to systems of two linear equations with two variables in real-world problems
Graphically determine the solution to a system of linear equations.
How many solutions can you have to a systems of linear equations, and what are they?
Graphically, what do the solutions to a system of linear equations look like?
How can you check to see if your solution to your system is correct?