Solve Systems of Equations By Graphing

Slides:

Advertisements

Similar presentations

Solving Systems with 2 Variables U3.1

Advertisements

3.1 Solving Systems by Graphing or Substitution

Objective - To graph linear equations using x-y charts. One Variable Equations Two Variable Equations 2x - 3 = x = 14 x = 7 One Solution.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

3.1 – Solve Linear Systems by Graphing A system of two linear equations in two variables x and y, also called a linear system, consists of two equations.

7.1 Graphing Linear Systems

Solving Systems of Linear Equations Graphically

3.1 Solve Linear Systems by Graphing. Vocabulary System of two linear equations: consists of two equations that can be written in standard or slope intercept.

Sections 3.1 & 3.2  A collection of equations in the same variables.

6-1 Solving Systems by Graphing

I can solve systems of equations by graphing and analyze special systems.

Slide Systems of Linear Equations A system of linear equations consists two or more linear equations.

13.7 – Graphing Linear Inequalities Are the ordered pairs a solution to the problem?

You will need: -Spiral/paper to take notes -A textbook (in this corner =>) -The Pre-AP agreement if you have it signed.

Drill # 95 Graph the following linear equations (on the same graph)

Advanced Algebra Notes

SOLVING SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

Unit 1.2 – Solve Linear Systems by Graphing MM3A5c - Represent and solve realistic problems using systems of linear equations Essential Question: What.

Free Powerpoint Templates Page 1 Free Powerpoint Templates 3.1 Solving Linear Systems by Graphing.

Section 7.1 Solving Linear Systems by Graphing. A System is two linear equations: Ax + By = C Dx + Ey = F A Solution of a system of linear equations in.

7-1 Graphing Systems of Equations SWBAT: 1) Solve systems of linear equations by graphing 2) Determine whether a system of linear equations is consistent.

3.1 WARM-UP Graph each of the following problems

Monday, March 23 Solve system of linear equations by graphing. Check consistency and dependency of system of equations by graphing.

6-4 Solving Special Systems 9.0 Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically.

Chapter 13 Section 2 Solutions of Systems of Equations.

infinitely many solutions

+ Unit 1 – First degree equations and inequalities Chapter 3 – Systems of Equation and Inequalities 3.1 – Solving Systems by Graphing.

Solving Systems of Equations by Graphing

3.1 – Solve Linear Systems by Graphing A system of two linear equations in two variables x and y, also called a linear system, consists of two equations.

Copyright © 2011 Pearson Education, Inc. Systems of Linear Equations in Two Variables Section 5.1 Systems of Equations and Inequalities.

Warm Up 1.) Find the x – intercept of the graph of y = |x + 1|. 2.) Express the cost C of x ball game tickets at a price of $18 per ticket.

3.1 Solving Systems Using Tables and Graphs When you have two or more related unknowns, you may be able to represent their relationship with a system of.

Objectives Solve special systems of linear equations in two variables.

+ Unit 1 – First degree equations and inequalities Chapter 3 – Systems of Equation and Inequalities 3.1 – Solving Systems by Graphing.

Chapter 4: Systems of Equations and Inequalities Section 4.3: Solving Linear Systems Using Graphs.

3.1 Graphing Systems of Equations Objective – To be able to solve and graph systems of linear equations. State Standard – 2.0 Students solve systems of.

Tuesday, October 15, 2013 Do Now:. 3-1 Solving Systems of Equations by Graphing Objectives: 1)solve systems of linear equations by graphing 2) Determine.

3.1 Solve Linear Systems by Graphing Algebra II. Definition A system of two linear equations in two variables x and y, also called a linear system, consists.

 How do I solve a system of Linear equations using the graphing method?

Lesson 4-1 Solving linear system of equations by graphing

3-1 Graphing Systems of Equations

Systems of Linear Equations

Chapter 3: Linear Systems and Matrices

Classifying Systems, Solving Systems by Graphing and Substitution

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

12 Systems of Linear Equations and Inequalities.

Solve Linear Systems by Graphing

Solve Linear Systems by Graphing

7.1 Solving Systems of Equations by Graphing

Solving Linear Systems by Graphing

5.1 Graphing Systems of Equations

7.1 System of Equations Solve by graphing.

6-1 Solving Systems by Graphing

Graphing systems of linear equations and inequalities

Objective Graph and solve systems of linear inequalities in two variables.

3.1 Solving Linear Systems by Graphing

Warm-Up What do you have to do to make this problem solvable?

9.6 Solving Systems of Equations by Graphing

Lesson Objectives: I will be able to …

Chapter 3 Section 1 Systems of Linear Equations in Two Variables All graphs need to be done on graph paper. Four, five squares to the inch is the best.

Indicator 16 System of Equations.

Solve Special Types of Linear Systems

Using Graphs and Tables to Solve Linear Systems 3-1

Objectives Identify solutions of linear equations in two variables.

Chapter 6 Vocabulary (6-1)

1.2 Solving Linear Systems by Graphing

Objective: Students will solve systems by graphing

3.1 Solving Linear Systems by Graphing

Systems of Linear Equations

Presentation transcript:

Solve Systems of Equations By Graphing

VOCABULARY A system of two linear equations, also called a linear system, in two variables x and y consists of two equations that can be written in the following form: Ax + By = C Dx + Ey = F

VOCABULARY A solution of a system of linear equations in two variables is an ordered pair (x, y) that satisfies both equations. At least 1 solution: CONSISTENT No solutions: INCONSISTENT [graph is parallel lines] Exactly 1 solution: INDEPENDENT Infinitely many solutions: DEPENDENT

VOCABULARY CONSISTENT INDEPENDENT CONSISTENT DEPENDENT INCONSISTENT

EXAMPLES 1) Check whether the ordered pair is a solution of the systems. (7, 4) y + x = 11 y – 2x = -10

EXAMPLES 1) Check whether the ordered pair is a solution of the systems. (1, 5) 3x - 2y = 7 y = 2x + 1

EXAMPLES 2) Graph the linear system and estimate the solution. Then check the solution algebraically. y = –3x + 5 y = 2x – 5

EXAMPLES 2) Graph the linear system and estimate the solution. Then check the solution algebraically. 3x + y = 7 y = 2x - 3

EXAMPLES 3) Graph the linear systems. Then classify as consistent & independent, consistent & dependent, or inconsistent. 4x + 3y = 9 -2x +3y = -6

EXAMPLES 3) Graph the linear systems. Then classify as consistent & independent, consistent & dependent, or inconsistent. -x + y = 3 y = x - 7