1. Stand Quietly

2. Lesson 5.4 Solving Special Systems of Linear Equations
Students will be able to use method of graphing, substitution, and elimination to determine no solution, one solution, or many solutions on a systems of linear equations.

3. Warm-Up #16 (3/20/2017)
Determine if the systems of equations have one solution, no solutions, or infinite solutions.
𝑥+𝑦= 𝑥+ 3 5 𝑦= 𝑥+𝑦=10
3𝑥+3𝑦= 𝑦=−2𝑥 𝑦−10=−3𝑥

4. Homework (3/15/2017)
Worksheet: Lesson Review

5. Homework
3/16/2017 Worksheet: Lesson 5.4_#1-10 3/17/2017 Worksheet: Lesson 5.4_#11-20

6. Homework (3/20/17)
Worksheet: Systems of Equations Word Problems

7. Methods of Solving Systems of Linear Equations
Graphing  both equations need to be in SLOPE-INTERCEPT FORM
Example: 𝑦=4𝑥+1 𝑎𝑛𝑑 𝑦=− 1 3 𝑥+3
Substitution both equations can be in any form
Example: 2𝑦=4𝑥−4 𝑎𝑛𝑑 4𝑥+6𝑦=6
Example: 𝑥=3𝑦+1 𝑎𝑛𝑑 𝑥=4
Example: 𝑦=3𝑥 𝑎𝑛𝑑 3𝑥−5𝑦=2
Elimination  both equations need to be in STANDARD FORM
Example: 3𝑥−6𝑦=12 𝑎𝑛𝑑 −3𝑥+2𝑦=1

8. Numbers of Solutions No Solutions Graph: parallel lines
Solving the equations: when both sides are not equal to each other. Ex. 6≠4

9. Numbers of Solutions One Solution Graph: intersecting lines
Solving the equations: when you have an answer. Ex. y = 3 and x = 1 (1,3)

10. Numbers of Solutions Infinite Many Solutions
Graph: it is the same line, so one line is on top of the other line
Solving the equations: when both sides are equal to each other. Ex. 3=3