1. Warm-Up
1. Determine the mistake. Then correctly solve. 4x +6 = -3(x+ 4) step 1 4x +6 = -3x – 12 step 2 x +6 = -12 step 3 x = -18 step 4 2. Determine the number of solutions for the system of equations 2x + y = 4 and -10 – 2y = 4x

2. Agenda Warm-Up Review Homework
Guided Notes on Solving Systems of Equations by Graphing
Ticket out the Door

3. Quick Check! What is a systems of equations?
What is an example of a system of equations?

4. Solving Systems of Equations
Three ways to solve systems of equation
By Substitution
By Elimination
By Graphing
When we talk about the solution to a systems of equations we mean the values of the variables that make both equations true at the same time.
When solving a systems of equations graphically, our solution is THE POINT OF INTERSECTION (where the two lines cross eachother).

5. Types of Solutions
Independent system: a system that has A POINT OF INTERSECTION or in other words only ONE SOLUTION.
Dependent system: a system that HAS MANY SOLUTIONS (The same line twice.)
 Inconsistent system: a system that HAS NO SOLUTION.

6. Steps to Solving Systems of Equations Graphically
Step 1: Put your equations in SLOPE-INTERCEPT FORM (y=mx+b) .
Step 2: Graph the given equations by using what you know about SLOPE – INTERCEPT FORM.
Step 3: Identify the point of intersection, or in other words your SOLUTION.
Step 4: Prove that your solution makes both equations TRUE.

7. Example 1: Solve by graphing

8. Example 2: Solve by graphing

9. Guided Practice!

10. Independent Practice
In pairs!

11. Ticket Out the Door 2x + y = 6 y = 2x - 2
Determine the number of solutions for the system of equations
5x – 2y = 8 and y = 5 2 x - 4
2. Solve the system of equations by graphing! Then determine if the system is independent, dependent or inconsistent!
2x + y = 6
y = 2x - 2