Solving Systems of Equations: Elimination Method.

Slides:

Advertisements

Similar presentations

Solve a System Algebraically

Advertisements

THE ELIMINATION METHOD Solving Systems of Three Linear Equations in Three Variables.

Solve each with substitution. 2x+y = 6 y = -3x+5 3x+4y=4 y=-3x- 3

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.

3.5 Solving systems of equations in 3 variables

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

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 Equations

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 =

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.

7.3 Solving Systems of Equations by Elimination (Addition & Subtraction) Solve by Elimination Example Problems Practice Problems.

3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.

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

Solving a System of Equations in Two Variables By Elimination Chapter 8.3.

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.

Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.

6.3 Solving Systems Using Elimination: Solution of a System of Linear Equations: Any ordered pair that makes all the equations in a system true. Substitution.

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

SECONDARY ONE 6.1a Using Substitution to Solve a System.

6.2 Solve a System by Using Linear Combinations

Differential Equations Linear Equations with Variable Coefficients.

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

Solving a System of Equations in Two Variables By Substitution Chapter 8.2.

7-3: Solving Systems of Equations using Elimination

Solving systems of equations with three variables January 13, 2010.

Warm-up. Systems of Equations: Substitution Solving by Substitution 1)Solve one of the equations for a variable. 2)Substitute the expression from step.

Task 2.6 Solving Systems of Equations. Solving Systems using Substitution  Solve using Substitution if one variable is isolated!!!  Substitute the isolated.

3.5 Solving Linear Systems in Three Variables 10/4/13.

OBJ: Solve Linear systems graphically & algebraically Do Now: Solve GRAPHICALLY 1) y = 2x – 4 y = x - 1 Do Now: Solve ALGEBRAICALLY *Substitution OR Linear.

3.2 Solve Linear Systems Algebraically Algebra II.

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.

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.

Systems of Equations Draw 2 lines on a piece of paper. There are three possible outcomes.

6) x + 2y = 2 x – 4y = 14.

Warm UP: Solve the following systems of equations:

Solving Systems of Linear Equations in 3 Variables.

3.4 Solving Systems with 3 variables

3-2: Solving Systems of Equations using Substitution

Solving Linear Systems Algebraically

Solve a system of linear equation in two variables

Lesson 7-4 part 3 Solving Systems by Elimination

REVIEW: Solving Linear Systems by Elimination

Lesson 7-4 part 2 Solving Systems by Elimination

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Solve Linear Equations by Elimination

Lesson 7-4 part 3 Solving Systems by Elimination

Before: December 4, 2017 Solve each system by substitution. Steps:

Notes Solving a System by Elimination

Notes Solving a System by Elimination

SIMULTANEOUS EQUATIONS 1

Solving Systems of Three Linear Equations in Three Variables

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

Solving systems using substitution

Solving Systems of Linear Equations in 3 Variables.

Systems of Equations Solve by Graphing.

Warm Up 12/3/2018 Solve by substitution.

3-2: Solving Systems of Equations using Substitution

Solve the linear system.

Solving Systems of Equations by Elimination Part 2

Chapter 8 Systems of Equations

Example 2B: Solving Linear Systems by Elimination

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Ch. 6 Vocabulary 7.) Substitution method (6-2) 8.) Elimination method (6-3)

The Substitution Method

Presentation transcript:

Solving Systems of Equations: Elimination Method

Objective I will be able to solve a system of linear equations in two variables using elimination by writing the steps and solution in the graphic organizer.

Steps for Elimination 1) Look for same coefficients for a variable and eliminate the variable 2) Solve for the remaining variable 3) Pick 1 of the original equations, substitute and solve for the other variable 4) Check your solution

Example 1 4x+2y = 9 -4x +3y =16

Example 2 -2x + 8y = -8 5x – 8y = 20

You try x+ 2y = 10 -x + y = 6