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

Slides:

Advertisements

Similar presentations

Solving Systems of Equations and Inequalities Jeopardy

Advertisements

Chapter 5 Objectives 1. Find ordered pairs associated with two equations 2. Solve a system by graphing 3. Solve a system by the addition method 4. Solve.

Systems of Linear Equations

7.1 Graphing Linear Systems

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.

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

Starter Write an equation for a line that goes through point (-3,3) and (0,3) y = 1/2 x + 3/2.

Systems of Equations.

Advanced Algebra Notes

SOLVING SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

Write the equation of the line…. Write the equation of the line… Through (4, 5) and (6, 9)

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.

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

Graph the following lines on the same coordinate plane. y = 2x - 1

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

Chapter 13 Section 2 Solutions of Systems of Equations.

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

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.

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.

Types of Systems. Inconsistent of consistent? Example 1: 3x – y = 2 6x – 2y = 3 Example 2: x + y = -2 x -2y = 7.

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

Algebra 2 January What are the 3 steps to graphing a linear equation? (section 2.2; Jan 12) 2. What is true about the slopes of perpendicular.

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.

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

Copyright © 2014, The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Lesson 4-1 Solving linear system of equations by graphing

Chapter 3 Linear Systems Review

3-1 Graphing Systems of Equations

Systems of Equations can be linear or non-linear

Chapter 3: Linear Systems and Matrices

1. The square root of 9 is 3 True

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

Chapter 12 Section 1.

Solve Linear Systems by Graphing

7.1 Solving Systems of Equations by Graphing

Solving Linear Systems by Graphing

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

5.1 Graphing Systems of Equations

Warm - Up Graph: 4x – 3y = 9.

6-1 Solving Systems by Graphing

Solve Linear Systems by Graphing

Methods to Solving Systems of Equations

Graphing systems of linear equations and inequalities

Do Now 1/18/12 In your notebook, explain how you know if two equations contain one solution, no solutions, or infinitely many solutions. Provide an example.

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

Determining an Equation of a Line

7.2 Solving Systems of Equations Algebraically

9.6 Solving Systems of Equations by Graphing

SECTION 6-1 : SOLVING SYSTEMS WITH 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.

Objectives Identify solutions of linear equations in two variables.

Chapter 8 Systems of Equations 8.1 Solve Systems by Graphing

infinitely many solutions

Graphing Systems of Equations

Chapter 6 Vocabulary (6-1)

Warm up Evaluate each expression for x = 1 and y = -3.

Solving Compound Inequalities

1.2 Solving Linear Systems by Graphing

Objective: Students will solve systems by graphing

System of Equations(SOE)

6-1 System of Equations (Graphing)

Intersection Method of Solution

Presentation transcript:

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

System of Equations Two or more equations with the same variables. To solve a system of equations, you must find where the graph of the equations intersect.

Consistent vs. Inconsistent Consistent – one or more solution (points where the graph intersect) Inconsistent – No solution (no intersects) Inconsistent have the same slope.

Consistent

Inconsistent

Independent vs. Dependent Independent – One solution (Consistent) Dependent – Many solutions ( the same equation)

Dependent y = 3x x + 2y = 10 The same line. So all the order pairs are the same.

In a Consistent System there can only be one The answer (order pair) is correct in both equation. 3x – 7y = - 6;-7y = -3x – 6; X + 2y = 11;2y = - x + 11;

Then we graph and

There must be a better way The rest of the chapter show a better way. So on to Section 3.2