Chapter 6 Systems of Linear Equations.

Slides:

Advertisements

Similar presentations

5-1 Solving Systems by Graphing

Advertisements

Vocabulary Chapter 6.

Chapter 3 – Linear Systems

3.1 Systems of Linear Equations Using graphs and tables to solve systems Using substitution and elimination to solve systems Using systems to model data.

Systems of Linear Equations

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

7.1 Graphing Linear Systems

Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Graphing.

7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.

Solving Systems of Linear and Quadratic Equations

Monday, March 23 Today's Objectives

Chapter 7.1 Notes: Solve Linear Systems by Graphing Goal: You will solve a system of linear equations graphically.

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

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

Advanced Algebra Notes

S2A Chapter 4 Simultaneous Equations Chung Tai Educational Press. All rights reserved. © Simultaneous Linear Equations in Two Unknowns  (  1)

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.

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

SYSTEMS OF LINEAR EQUATIONS SUBSTITUTION AND ELIMINATION Objectives: Solve Systems of Equations by Substitution and Elimination Identify Inconsistent Systems.

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

By looking at a graph, name the three types of solutions that you can have in a system of equations. Groupwork graded Groupwork worksheet 1-14 Work on.

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

1.1 Solving Linear Systems by Graphing 9/14/12. Solution of a system of 2 linear equations: Is an ordered pair (x, y) that satisfies both equations. Graphically,

September 24 th, 2015 Questions?  In past years we studied systems of linear equations.  We learned three different methods to solve them.  Elimination,

Solving Linear Systems by Substitution

Topic: U4L2 Solving Nonlinear Systems of Equations EQ: How can I solve a system of equations if one or more of the equations does not represent a line?

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.

Unit 2: Systems Day 1: Solving Systems with tables and graphing.

Solving Systems of Equations

SYSTEMS OF EQUATIONS. SYSTEM OF EQUATIONS -Two or more linear equations involving the same variable.

Key Concepts for Sect. 7.1 *A system of equations is two or more equations in two or more variables. *Numerically, a solution to a system of equations.

5.1 Solving Systems of Equations Objectives: --To identify a system of equations --To determine if a point is a solution to a system --To use graphing.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Chapter 2 Lesson 3 Systems of Linear Equations in Two Variables.

Algebra 2 Chapter 3 Review Sections: 3-1, 3-2 part 1 & 2, 3-3, and 3-5.

Lesson 4-1 Solving linear system of equations by graphing

Solving Linear Systems

Systems of Equations can be linear or non-linear

Chapter 3: Linear Systems and Matrices

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

Systems of Linear Equations

Chapter 6 Conic Sections

Aim #8.1:How do we solve systems of equations with two variables?

Chapter 12 Section 1.

Solving Systems of Linear and Quadratic Equations

Warm up Graph y = 3x – 4 y = -2x + 11 on your graphing calculator.

Solving Linear Systems Algebraically

Solve a system of linear equation in two variables

Section 5.1 Systems of Linear Equations in Two Variables

Solving Special Systems

5.1 Solve Systems of Equations by Graphing

Systems of equations.

SIMULTANEOUS EQUATIONS 1

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.

Chapter 4 – Linear Systems

Objectives Identify solutions of linear equations in two variables.

Systems of linear equations substitution and elimination

Chapter 8 Systems of Equations 8.1 Solve Systems by Graphing

Systems of Equations Solve by Graphing.

Systems of Equations Solving by Graphing.

Solving Systems of Equations & Inequalities

Chapter 8 Systems of Equations

System of Equations Graphing methods.

Nonlinear Systems of Equations

Notes: 2-1 and 2-2 Solving a system of 2 equations:

Intersection Method of Solution

Presentation transcript:

Chapter 6 Systems of Linear Equations

6.1 Using Graphs and Tables to Solve Systems

A system of linear equations in two variables (linear system) consists of two or more linear equations in two variables. y = 2x + 1 y = 4x - 1

Solution An ordered pair (a,b) is a solution of the system if it satisfies both equations. The solution set of the system is the set of all solutions/ordered pairs (a,b) The intersection of the linear equations is the only point that satisfies each equation. Three main ways to solve systems: graphing, substitution, and elimination.

Solving by graphing: 1) by hand 2) using graphic calc: By hand: 1) graph each equation by hand 2) find the intersection point visually

By calc: 1) graph each equation using y = 2) zoom 6 to display the lines 3) 2nd calc>intersect>first curve>enter> second curve>enter>Guess> enter

Types of solutions: y = x - 10 y = 2x +1 y =2x – 1 y = x – 3 y = (1/2)x – 2 y =4x – 2