6) x + 2y = 2 x – 4y = 14.

Slides:

Advertisements

Similar presentations

Solving Systems of three equations with three variables Using substitution or elimination.

Advertisements

TODAY IN ALGEBRA…  Warm Up: Solving a system by Elimination  Learning Goal: 7.4 You will solve systems of linear equations by Elimination with multiplication.

TODAY IN ALGEBRA…  Learning Goal: 7.3 You will solve systems of linear equations by Elimination  Independent Practice  MID CH.7 TEST-MONDAY/TUESDAY!

Solving a System of Equations by ELIMINATION. Elimination Solving systems by Elimination: 1.Line up like terms in standard form x + y = # (you may have.

Drill Solve the linear system by substitution. 1.y = 6x – 11 -2x – 3y = x + y = 6 -5x – y = 21.

SOLVING SYSTEMS OF LINEAR EQUATIONS REVIEW OF 3 METHODS.

Lesson 6-3 – Solving Systems Using Elimination

3.2 Solving Systems Algebraically

Unit 1.3 USE YOUR CALCULATOR!!!.

Solving Systems of Equations

Do Now 1/13/12  In your notebook, list the possible ways to solve a linear system. Then solve the following systems. 5x + 6y = 50 -x + 6y = 26 -8y + 6x.

Integrated Math 2 Lesson #7 Systems of Equations - Elimination Mrs. Goodman.

Solving Linear Systems by Elimination Math Tech II Everette Keller.

Goal: Solve a system of linear equations in two variables by the linear combination method.

Solving Linear Systems by Substitution O Chapter 7 Section 2.

Bell Ringer 2x – 3y = 4 5x + 3y = 10. HW Check Check elimination part 1 practice.

SOLVING SYSTEMS ALGEBRAICALLY SECTION 3-2. SOLVING BY SUBSTITUTION 1) 3x + 4y = 12 STEP 1 : SOLVE ONE EQUATION FOR ONE OF THE VARIABLES 2) 2x + y = 10.

What is a System of Linear Equations? A system of linear equations is simply two or more linear equations using the same variables. We will only be dealing.

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.

Solving by Substitution Method or Elimination (Addition) Method

3-2 Solving Linear Systems Algebraically Objective: CA 2.0: Students solve system of linear equations in two variables algebraically.

7.4. 5x + 2y = 16 5x + 2y = 16 3x – 4y = 20 3x – 4y = 20 In this linear system neither variable can be eliminated by adding the equations. In this linear.

Unit 1.3 USE YOUR CALCULATOR!!! MM3A5c. Unit 1 – Algebra: Linear Systems, Matrices, & Vertex- Edge Graphs  1.3 – Solve Linear Systems Algebraically 

Do Now (3x + y) – (2x + y) 4(2x + 3y) – (8x – y)

Lesson 2.8 Solving Systems of Equations by Elimination 1.

U SING A LGEBRAIC M ETHODS TO S OLVE S YSTEMS In this lesson you will study two algebraic methods for solving linear systems. The first method is called.

6.2 Solve a System by Using Linear Combinations

Bell Ringer: Combine like terms 1)4x + (-7x) = 2)-6y + 6y = 3)-5 – (-5) = 4)8 – (-8) =

Section 3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method.

SOLVING SYSTEMS USING ELIMINATION 6-3. Solve the linear system using elimination. 5x – 6y = -32 3x + 6y = 48 (2, 7)

3.2 Solving Linear Systems Algebraically What are the steps to solve a system by substitution? What clue will you see to know if substitution is a good.

Slide Copyright © 2009 Pearson Education, Inc. 7.2 Solving Systems of Equations by the Substitution and Addition Methods.

3-2 Solving Systems Algebraically. In addition to graphing, which we looked at earlier, we will explore two other methods of solving systems of equations.

EXAMPLE 4 Solve linear systems with many or no solutions Solve the linear system. a.x – 2y = 4 3x – 6y = 8 b.4x – 10y = 8 – 14x + 35y = – 28 SOLUTION a.

Chapter 4: System of Equations and Inequalities Section 4.4: Solving Linear Systems Using the Addition Method.

Lesson 4-2: Solving Systems – Substitution & Linear Combinations Objectives: Students will: Solve systems of equations using substitution and linear combinations.

3.3 Solving Linear Systems by Linear Combination 10/12/12.

Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:

3.2 Solve Linear Systems Algebraically Algebra II.

1.6 Solving Linear Systems in Three Variables 10/23/12.

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

SECTION 3.2 SOLVING LINEAR SYSTEMS ALGEBRAICALLY Advanced Algebra Notes.

WARM-UP. SYSTEMS OF EQUATIONS: ELIMINATION 1)Rewrite each equation in standard form, eliminating fraction coefficients. 2)If necessary, multiply one.

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

Solving a System of Equations by ELIMINATION. Elimination Solving systems by Elimination: 1.Line up like terms in standard form x + y = # (you may have.

Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33.

3.2 WARM - UP Solve the system graphically. 4x – 2y = -8 x + y = 1 –5–4–3–2– –5 –4 –3 –2 – x – 2y = -8 -4x -2y = -4x – 8 y = 2x + 4 x.

Solve by Graphing Solve: 3x + 4y = - 4 x + 2y = 2

X.3 Solving Systems of Linear Equations by Elimination

Solve Systems of Equations by Elimination

5.3 Solving Systems of Linear Equations by Elimination

Solving Systems of Linear Equations in 3 Variables.

Chapter 3: Linear Systems

Algebra 1 Section 7.3 Solve linear systems by linear combinations

THE SUBSTITUTION METHOD

Solving Linear Systems by Linear Combinations

Solving Linear Systems Algebraically

REVIEW: Solving Linear Systems by Elimination

Lesson 7.4 Solve Linear Systems by Multiplying First

Methods to Solving Systems of Equations

Solve Linear Equations by Elimination

SOLVING SYSTEMS USING ELIMINATION

Solving a System of Equations in Two Variables by the Addition Method

Solving Systems of Equations by the Substitution and Addition Methods

SYSTEMS OF LINEAR EQUATIONS

Solving Systems of Linear Equations in 3 Variables.

Section Solving Linear Systems Algebraically

Example 2B: Solving Linear Systems by Elimination

The Substitution Method

Presentation transcript:

6) x + 2y = 2 x – 4y = 14

Solve Linear Systems Algebraically Section 3.2: Solve Linear Systems Algebraically

Substitution Method: Step 1 – Solve one of the equations for one of its variables. Step 2 – Substitute the expression from Step 1 into the other equation and solve for the other variable. Step 3 – Substitute the value from Step 2 into the revised equation from Step 1 and solve.

Example 1: Solve the system using the substitution method. 3x + 2y = 1 -2x + y = 4 4x + 3y = -2 x + 5y = -9

Elimination Method: Step 1 – Multiply one or both of the equations by a constant to obtain coefficients that differ only in sign for one of the variables. Step 2 – Add the revised equations from Step 1. Combining like terms will eliminate one of the variables. Solve for the remaining variable. Step 3 – Substitute the value obtained in Step 2 into either of the original equations and solve for the other variable.

Example 2: Solve the system using the elimination method. 8x + 2y = 4 -2x + 3y = 13 3x + 3y = -15 5x – 9y = 3

HOMEWORK pg. 164; 6 – 24 even