Inconsistent and Dependent Systems and Their Applications

Slides:

Advertisements

Similar presentations

Solving Systems of Linear Equations Part Pivot a Matrix 2. Gaussian Elimination Method 3. Infinitely Many Solutions 4. Inconsistent System 5. Geometric.

Advertisements

Technical Question Technical Question

3.5 Solving systems of equations in 3 variables

Table of Contents The goal in solving a linear system of equations is to find the values of the variables that satisfy all of the equations in the system.

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

Matrix Solutions to Linear Systems. 1. Write the augmented matrix for each system of linear equations.

Elimination Day 2. When the two equations don’t have an opposite, what do you have to do? 1.

6.5 – Applying Systems of Linear Equations

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.

Solving Systems of Equations.

Class 7: Answers 1 (C) Which of the following matrices below is in reduced row echelon form? A B C D. None of them.

Systems of Equations Gaussian Elimination & Row Reduced Echelon Form by Jeffrey Bivin Lake Zurich High School Last Updated: October.

3-2 Day 2 Solving Systems Algebraically: Elimination Method Objective: I can solve a system of equations using the elimination method.

Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination Method Solving Systems of Equations: The Elimination.

Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.

Notes – 2/13 Addition Method of solving a System of Equations Also called the Elimination Method.

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

7.3 Solving Systems of Equations by Elimination Using Multiplication Solve by Elimination Example Problems Practice Problems.

Solving Systems of Equations by Elimination Solve by Elimination Solve by Multiplying then Elimination.

RECOGNIZING INCONSISTENT LINEAR SYSTEMS. What is an Inconsistent Linear System?  An inconsistent linear system is a system of equations that has no solutions.

Differential Equations Linear Equations with Variable Coefficients.

Section 9.3 Systems of Linear Equations in Several Variables Objectives: Solving systems of linear equations using Gaussian elimination.

Solving Systems of Equations

Chapter 6 Matrices and Determinants Copyright © 2014, 2010, 2007 Pearson Education, Inc Inconsistent and Dependent Systems and Their Applications.

Warm Up Is (3,-5) a solution of the system? 4x + 2y = 2 -2x – 3y = 9.

Systems of Equations By Substitution and Elimination.

Chapter Systems of linear Equations. Objectives O Use the method of elimination to solve systems of linear equations O Graphically interpret the.

Elimination Method - Systems. Elimination Method  With the elimination method, you create like terms that add to zero.

2( ) 8x + 14y = 4 -12x – 14y = x = x = 4 8x + 14y = 4 8(4) + 14y = y = y = -28 ___ ___ y = -2 The solution is (4, -2)

Systems of Equations can be linear or non-linear

Systems of Linear Equations and Inequalities

Warm UP: Solve the following systems of equations:

1. The square root of 9 is 3 True

10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.

Chapter 12 Section 1.

Solving Systems Of Equations Algebraically

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

Notes Over 9.6 An Equation with One Solution

Linear Equations and Rational Equations

Systems of Inequalities

Choose the matrix in echelon form from the following:

Solving Linear Systems Algebraically

6-3 Solving Systems Using Elimination

Use the substitution method to find all solutions of the system of equations {image} Choose the answer from the following: (10, 2) (2, 10) (5, - 2) ( -

3.5 Solving systems of equations in 3 variables

TYPEWRITER 10.1 Systems of Equations

Larger Systems of Linear Equations and Matrices

Equation Review Given in class 10/4/13.

Matrix Solutions to Linear Systems

Quadratic Equations.

SIMULTANEOUS EQUATIONS 1

SECTION 6-1 : SOLVING SYSTEMS WITH GRAPHING

Systems of Equations and Inequalities

Topic Past Papers –Linear Equations

Solving systems using substitution

Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.

Systems of Equations Solve by Graphing.

Equation Review.

Solving Systems of Equations by Elimination Part 2

Warm-up: Solve the system by any method:

Exercise Every positive number has how many real square roots? 2.

Example 2B: Solving Linear Systems by Elimination

7.3 Notes: Multivariable Linear Systems

Objective: Students will solve systems by graphing

Systems of Linear Equations

System of Equations(SOE)

Similarities Differences

Indicator 16 System of Equations.

Presentation transcript:

Inconsistent and Dependent Systems and Their Applications

1. Use Gaussian elimination to find the complete solution to each system of equations, or show that none exists (similar to p.574 #2)

2. Use Gaussian elimination to find the complete solution to each system of equations, or show that none exists (similar to p.574 #6)

3. Use Gaussian elimination to find the complete solution to each system of equations, or show that none exists (similar to p.574 #8)

4. Use Gaussian elimination to find the complete solution to each system of equations, or show that none exists (similar to p.574 #16)