1. Solving Systems by Graphing CC 10

2. Two or more linear equations together form a system of linear equations. One way to solve a system is by graphing *Any point common to all the lines is a solution of the system of linear equations.

3. Steps 1Write equations in slope intercept form 2Graph each equation on the same coordinate plane 3The coordinates of the point of intersection are the solution 4Test point in each equation to see if it is true Examples Solve the system of linear equations y = 2x – 3 y = x – 1 (2, 1) 1 y = 2x – 3y = x – 1 1=2(2) – 31 = 2 – 1 1=4 – 31=1 1=1

4. -4y = 4 + x ¼ x + y = -1 2 -4y = 4 + x -4 -4 y = -¼ x – 1 ¼ x + y = -1 –¼ x y = - ¼ x – 1 *Since the graphs are the same line, the system has an infinite # of solutions

5. y = 4x – 3y = 4x + 2 3 * If the lines are parallel, there is no solution

6. Don’t forget to interpret the solution. Meaning, what does it mean given the original situation.

7. Questions? Ask now!

8. Assignments Class Work Page CC28Look at examples Page CC31#1 – 3, 22 Homework Finish Class Work; Common Core Coach pg60/61