1. by graphing Heather Greene Grand Canyon University TEC 542 June 1, 2011

2. Table of Contents Click on the following topics to jump to that topic: Home What is a linear equation? What is a system of linear equations? Solving systems of linear equations by graphing

3. What is a linear equation? An equation with two variables for which the graph of the solutions form a line Example: y = 2x - 3 There are many solutions for this equation. We usually organize them in a t-chart: x2x - 3y 02(0) - 3-3 12(1) - 3 22(2) - 31 32(3) - 33 Then we plot the (x,y) coordinates on a coordinate plane. Go to the next screen to see! TABLE OF CONTENTS

4. x2x - 3y 02(0) - 3-3 12(1) - 3 22(2) - 31 32(3) - 33 What is a linear equation? The (x,y) solutions form a line when graphed on a coordinate plane! TABLE OF CONTENTS

5. What is a system of linear equations? Two or more linear equations that contain the same variables. Example: y = 2x – 3 y = -x + 3 Follow this link to read about systems of equations: http://www.purplemath.com TABLE OF CONTENTS

6. xy 0-3 1 21 33 Solving systems of linear equations by graphing The point where the two lines cross is the solution. That is the coordinate pair that makes both equations true. The solution for this system of equations is (2,1). y = 2x – 3y = -x + 3 xy 03 12 21 30 y = 2x – 3 y = -x + 3 TABLE OF CONTENTS

7. Solving systems of linear equations interactive tutorial Follow this link to learn more about solving systems of equations, including what happens if you have parallel lines: http://math123xyz.com TABLE OF CONTENTS