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Algebra 2 Chapter 3 Notes Systems of Linear Equalities and Inequalities

Algebra 2 Chapter 3 Notes Systems of Linear Equalities and Inequalities

Algebra 2 Chapter 3 Notes Systems of Linear Equalities and Inequalities. 3.1. Solving Linear Systems by Graphing. A system of 2 linear equations in 2 variables, x & y consists of 2 equations of the following form:. A x + B y = C D x + E y = F.

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Objective

Objective

Objective. You will be able to: Solve systems of equations using elimination with addition or (subtraction) and multiplication. UNIT 6 Concept 3. Solving Systems of Equations.

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3 .1 Solve Linear Systems by Graphing

3 .1 Solve Linear Systems by Graphing

3 .1 Solve Linear Systems by Graphing. 3.1 Solve Linear Systems by Graphing. 3.1 Solve Linear Systems by Graphing. 3.1 Solve Linear Systems by Graphing. U SING A LGEBRAIC M ETHODS TO S OLVE S YSTEMS. 1. 2. 3. THE SUBSTITUTION METHOD.

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SYSTEMS OF LINEAR EQUATIONS

SYSTEMS OF LINEAR EQUATIONS

SYSTEMS OF LINEAR EQUATIONS. Solving Linear Systems Algebraically. Solving Systems of Equations Algebraically. When you graph, sometimes you cannot find the exact point of intersection. We can use algebra to find the exact point.

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U SING A LGEBRAIC M ETHODS TO S OLVE S YSTEMS

U SING A LGEBRAIC M ETHODS TO S OLVE S YSTEMS

U SING A LGEBRAIC M ETHODS TO S OLVE S YSTEMS. 1. 2. 3. THE SUBSTITUTION METHOD. In this lesson you will study two algebraic methods for solving linear systems. The first method is called substitution. Solve one of the equations for one of its variables.

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Section 3.5 Systems of Equations

Section 3.5 Systems of Equations

Section 3.5 Systems of Equations. What is a system of equations?. Two or more equations in the same variables. To solve a system. Find all ordered pairs (x, y) that make both equations true. Methods to Solve. Graphing method Substitution method Linear combination/Elimination method.

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Table of Contents

Table of Contents

Table of Contents. Topic Page #. . 6.6A Absolute Value Less ThAND 73. 6.6B Absolute Value GreatOR Than 74. 6.7 Two Variable Inequalities 75. 7.1 Solve Systems By Graphing 76. 7.2 Solve Systems By Substitution 77. 7.3 Solve Systems By Combination 78.

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System of Two Linear Equations in Two Variables

System of Two Linear Equations in Two Variables

System of Two Linear Equations in Two Variables. Two equations of the form Ax + By = C and Dx + Ey = F where x and y are both variables. Solution of a system of linear equations. An ordered pair (x, y) that satisfies each equation of the system. Substitution Method.

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5.3 Systems of Linear Equations in Three Variables

5.3 Systems of Linear Equations in Three Variables

5.3 Systems of Linear Equations in Three Variables. solution. ordered. triple. A of a system of linear equations in three variables is an of real numbers that satisfies all equations of the system. In other words, the solution is the point of of three planes. intersection.

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3.2 Solving Linear Systems Algebraically

3.2 Solving Linear Systems Algebraically

3.2 Solving Linear Systems Algebraically. p. 148. 2 Methods for Solving Algebraically. Substitution Method (used mostly when one of the equations has a variable with a coefficient of 1 or -1) Linear Combination Method. Substitution Method.

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Special Case

Special Case

Special Case. 3. The Linear Combination Method. Solve the linear system using the linear combination method. No Solution. This means the lines are parallel. Special Case. 3. -4. The Linear Combination Method. Solve the linear system using the linear combination method.

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