Warm - Up Graph each equations on its own coordinate plane.

Slides:

Advertisements

Similar presentations

7.1 Graphing Linear Systems

Advertisements

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations Graphically

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.

Warm-Up 5 minutes 1) On the coordinate plane, graph two lines that will never intersect. 2) On the coordinate plane, graph two lines that intersect at.

Systems of Equations.

SOLVING SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point.

Systems Algebra 2. Solutions In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it.

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

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.

3.1 Solving equations by Graphing System of equations Consistent vs. Inconsistent Independent vs. Dependent.

Solving Systems of Equations by Graphing.  I can:  Solve systems of equations by graphing  Determine whether a system of equations is consistent and.

Linear Systems of Equations Section 3.1. What is a “system” of equations?

Solving Systems of Equations by Graphing

Solving a System of Equations in Two Variables By Graphing Chapter 8.1.

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.

+ 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.

Types of Linear Systems. Background In slope-intercept form, the equation of a line is given by the form: y = mx + b m represents what? b represents what?

Solving Systems By Graphing. Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept.

4.1 Graphing Systems. Goals  SWBAT graph a system of linear equations and find the solution to the system.

Chapter 3 – Linear Systems 3-1 Solving Systems Using Tables and Graphs.

Objective: To solve a system of linear equations by graphing and substitution.

Solving Systems of Linear Equations in 2 Variables Section 4.1.

3.5 Solving systems of equations in three variables Main Ideas Solve systems of linear equations in three variables. Solve real-world problems using systems.

Lesson 4-1 Solving linear system of equations by graphing

3-1 Graphing Systems of Equations

Systems of Linear Equations

Systems of Equations and Inequalities

Chapter 3: Linear Systems and Matrices

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

12 Systems of Linear Equations and Inequalities.

Solving Systems of Linear Equations by Graphing

8.7Systems of Linear Equations – Part 1

Linear Systems November 28, 2016.

Warm-Up Graph Solve for y: Graph line #2.

Chapter 7 – Linear Systems

7.1 Solving Systems of Equations by Graphing

Solving Systems of Linear Equations in Three Variables

Solving Special Systems

Systems of Equations Solving by Graphing.

5.1 Graphing Systems of Equations

Warm - Up Graph: 4x – 3y = 9.

Solving Special Systems

6-1 Solving Systems by Graphing

Solve Systems of Equations

Graphing systems of linear equations and inequalities

3.1 Solving Linear Systems by Graphing

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

7.2 Solving Systems of Equations Algebraically

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

Graph the equation..

Systems of Equations Solving by Graphing.

9.6 Solving Systems of Equations by Graphing

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.

has one solution, it is the point where the lines intersect

Systems of Equations Solving by Graphing.

Warm-Up 1) Sketch a graph of two lines that will never intersect.

Chapter 6 Vocabulary (6-1)

4 minutes Warm-Up Solve and graph. 1) 2).

1.2 Solving Linear Systems by Graphing

Objective: Students will solve systems by graphing

Systems of Linear Equations

Linear Systems of Equations

Presentation transcript:

1. 2x + 2y = 6 2. x - y = - 1 3. 3x + y = - 3 4. -2x + 2y = - 2 Warm - Up Graph each equations on its own coordinate plane. 1. 2x + 2y = 6 2. x - y = - 1 3. 3x + y = - 3 4. -2x + 2y = - 2

Solve a system of linear equation in two variables The Graphing Method A System of equations is two equations with the same two variables. To Solve a system of equation we find values of the variables that are common to both equations. An easy way to find a solution is to graph both equations on the same coordinate plane and look for solutions that are common (the place where the graphs intersect). Three situations can arise when solving a system. 1. The lines cross and we have a solution. (consistent or independent system) 2. The lines are parallel and never cross so there is no solution. (inconsistent system) 3. The lines may be the same and have an infinite amount of solutions. (dependent system)

Solve a system of linear equation in two variables The Graphing Method Examples Graph each pair of equations on a single coordinate plane. 1. 2x + 2y = 6 2. x - y = - 1 (answer: (1, 2)) 3. 3x + y = - 3 4. -2x + 2y = - 2 (answer: (-1/2, -3/2))

Solve a system of linear equation in two variables The Graphing Method Practice Determine all of the solutions for the following system of equations. (answer: (-2, 3)) (answer: infinite solutions) (answer: no solution) (answer: (-3, -2))

Describe the three possible outcomes when graphing Solve a system of linear equation in two variables The Graphing Method Journal Describe the three possible outcomes when graphing two lines on one coordinate plane. Include definitions and graphs.