3.1 “Solving Linear Systems with Graphing”

Slides:

Advertisements

Similar presentations

Systems of Linear Equations

Advertisements

6.1 – Graphing Systems of Equations

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.

Solve Systems of Equations By Graphing

7.1 Graphing Linear Systems

Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.

Solving Systems of Linear Equations by Graphing

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.

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.

Topics: Topic 1: Solving Linear Equations Topic 2: Solving Quadratic Equations Topic 3: Solving Proportions involving linear and quadratic functions. Topic.

Advanced Algebra Notes

Chapter 2 Systems of Linear Equations and Matrices Section 2.1 Solutions of Linear Systems.

Class 5: Question 1 Which of the following systems of equations can be represented by the graph below?

1.3 The Intersection Point of Lines System of Equation A system of two equations in two variables looks like: – Notice, these are both lines. Linear Systems.

Math /4.2/4.3 – Solving Systems of Linear Equations 1.

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

Practice 1.) Solve for y : 4x + 2y = -8 2.) Solve for y: 3x – 5y = 10 3.) Graph the equation: 3x – 2y = 5 x y O

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

Solving Systems of Equations by Graphing Chapter 3.1.

Chapter 13 Section 2 Solutions of Systems of Equations.

Section 3.2 Connections to Algebra.  In algebra, you learned a system of two linear equations in x and y can have exactly one solution, no solutions,

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

Ch 7: System of Equations E) Parallel & Same Lines Objective: To identify the number of solutions of a system of linear equations.

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.

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.

Warm-up 4-1. x – y = 33x + y = 52y = 6 – x x + y = 5x – 2y = 43x – 2y = 6 Graphs:

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.

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.

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.

1.1 The row picture of a linear system with 3 variables.

EXAMPLE 1 Solve a system graphically Graph the linear system and estimate the solution. Then check the solution algebraically. 4x + y = 8 2x – 3y = 18.

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

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

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.

3-1 Graphing Systems of Equations

Chapter 3: Linear Systems and Matrices

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

Systems of Equations and Inequalities

8.7Systems of Linear Equations – Part 1

Linear Systems November 28, 2016.

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

7.1 Solving Systems of Equations by Graphing

Solving Linear Systems by Graphing

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

Systems of Equations Solving by Graphing.

5.1 Graphing Systems of Equations

7.1 System of Equations Solve by graphing.

6-1 Solving Systems by Graphing

Solve 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.

Systems of Equations Solving by Graphing.

9.6 Solving Systems of Equations by Graphing

Indicator 16 System of Equations.

5.1 Solving Systems of Equations by Graphing

System of Linear Equations:

Systems of Equations Solving by Graphing.

Graphing Systems of Equations

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

Chapter 6 Vocabulary (6-1)

1.2 Solving Linear Systems by Graphing

Objective: Students will solve systems by graphing

Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing

Chapter 9 Lesson 3 Pg. 699 Solving Systems of Equations by Graphing

Presentation transcript:

3.1 “Solving Linear Systems with Graphing” Systems of equations mean more than one linear equation. The point of intersection (x,y) is the solution to the system. Example: Graph the linear system and estimate the solution. 4x + y = 8 2x – 3y = 18 Steps: Solve each equation for y. Graph each line on ONE graph. Label the point of intersection (which is the solution).

Example #1 Continued 4x + y = 8 2x – 3y = 18

Try This: 8x – y = 8 3x + 2y = -16

Number of Solutions of Systems One Solution – the solution is the point where the lines intersect (x, y). Parallel – the lines never intersect, therefore, there is no solution, no points are common. Same Line - the lines are the exact same, therefore, they have infinite solutions…all points are common.

Examples: 12x – 9y = 27 8x – 6y = 18 4x + 6y = 18 6x + 9y = 18

Types of Systems: Classifications: Knowing this… Example #1? Inconsistent System – no solutions Parallel Lines Consistent System – has at least one solution Dependent – infinite number of solutions Same Line Independent – has exactly one solution Intersect Knowing this… Example #1? Example #2? Example #3? Example #4?