Recap. 4.4 Simultaneous Equations by ‘Elimination’. ESSENTIAL QUESTION How to solve a system of equations simultaneously via elimination?

Slides:



Advertisements
Similar presentations
Vocabulary Chapter 6.
Advertisements

3-3 Solving Multiplication Equations. Solve Solution GOAL Find the value of the variable that makes the equation TRUE. The value that makes the equation.
3.2 Solving Systems Algebraically 2. Solving Systems by Elimination.
Algebra II w/ trig. Substitution Method: 1. Solve an equation for x or y 2. Substitute your result from step 1 into the other equation and solve for the.
Lesson 6-3 – Solving Systems Using Elimination
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 =
7.3 Solving Systems of Equations by Elimination (Addition & Subtraction) Solve by Elimination Example Problems Practice Problems.
3.5 – Solving Systems of Equations in Three Variables.
6.5 – Applying Systems of Linear Equations
Solving Systems Using Elimination
3.2 Solving Equations by Using Addition and Subtraction Addition Property of Equality –If the same number is added to each side of an equation, the resulting.
4.8 – Solving Equations with Fractions
Notes – 2/13 Addition Method of solving a System of Equations Also called the Elimination Method.
AIM: How can we solve a system using addition or subtraction? Topic: Solving systems by adding or subtracting.
Lesson 1-8 Solving Addition and Subtraction Equations.
7-3 Elimination Using Addition and Subtraction 7-4 Elimination Using Multiplication Objective: Students will be able to: Solve a system of linear equations.
Chapter 3 Examples Section 5 Solving System of Equations Algebraically with 3 variables.
Section 9.3 Systems of Linear Equations in Several Variables Objectives: Solving systems of linear equations using Gaussian elimination.
Solving Systems of Equations
Solve one step equations. You can add the same amount to both sides of an equation and the statement will remain true = = 9 x = y +
Solving One Step Equations Algebra I. Addition and Subtraction One Step Equations A solution of an equation is the value or values of the variable that.
EXTRA HELP WITH SYSTEMS OF EQUATIONS. SOLVING SYSTEMS OF EQUATIONS USING ELIMINATION Steps: 1. Place both equations in Standard Form, Ax + By = C. 2.
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.
7-3: Solving Systems of Equations using Elimination
2.4 Equations with Variables on Both Sides To solve an equation with variables on both sides, you must use the Addition or Subtraction Properties of Equality.
Do Now Solve using elimination: 3x + 2y = – 19 – 3x – 5y = 25.
Task 2.6 Solving Systems of Equations. Solving Systems using Substitution  Solve using Substitution if one variable is isolated!!!  Substitute the isolated.
OBJ: Solve Linear systems graphically & algebraically Do Now: Solve GRAPHICALLY 1) y = 2x – 4 y = x - 1 Do Now: Solve ALGEBRAICALLY *Substitution OR Linear.
6-2 Solving Systems Using Substitution Hubarth Algebra.
Chapter 3 Lesson 2 Solving Systems of Equations Algebraically.
Algebra 2 Chapter 3 Review Sections: 3-1, 3-2 part 1 & 2, 3-3, and 3-5.
December 12, 2011 By the end of today: I will know how to solve systems by elimination.
Simultaneous Equations 1
3. 3 Solving Equations Using Addition or Subtraction 3
Warm UP: Solve the following systems of equations:
10.1 SYSTEMS OF LINEAR EQUATIONS: SUBTRACTION, ELIMINATION.
Chapter 12 Section 1.
Solving Systems of Equations using Elimination
Solving Systems of Linear Equations in 3 Variables.
Revision Simultaneous Equations I
Solving Inequalities Using Addition and Subtraction
6-2 Solving Systems Using Substitution
3-2: Solving Systems of Equations using Elimination
Section 2 – Solving Systems of Equations in Three Variables
Solving Linear Systems Algebraically
Simplify Expressions 34 A number divided by 3 is 7. n ÷ 3 = 7.
6-3 Solving Systems Using Elimination
Solving Systems Using Elimination
3.3: Solving Systems of Equations using Elimination
Solving Equations with variables on each side
Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.
Simultaneous Equations
Equations with Variables on Both Sides Day 2
Chapter 4: Solving Inequalities
3-2: Solving Systems of Equations using Elimination
Solve Linear Equations by Elimination
SIMULTANEOUS EQUATIONS 1
3-2: Solving Systems of Equations using Elimination
Simultaneous Equations starter
Solving Systems of Linear Equations in 3 Variables.
Warm Up 12/3/2018 Solve by substitution.
Section Solving Linear Systems Algebraically
3-2: Solving Systems of Equations using Elimination
Solving Systems of Equations using Elimination
2-3 Equations With Variables on Both Sides
2 Step Equations Grade 6 Algebra Unit.
6-3 Solving Systems Using Elimination (Combination)
One-step addition & subtraction equations: fractions & decimals
Solving Linear Systems by Graphing
Presentation transcript:

Recap

4.4 Simultaneous Equations by ‘Elimination’. ESSENTIAL QUESTION How to solve a system of equations simultaneously via elimination?

Theory

In the elimination method, one equation is added or subtracted with the other to eliminate one variable and the resulting equation is solved for the remaining variable. Then, using the worked out value and one of the equations, the other variable is solved. (the 2 solutions should make both equations true) In the elimination method, one equation is added or subtracted with the other to eliminate one variable and the resulting equation is solved for the remaining variable. Then, using the worked out value and one of the equations, the other variable is solved. (the 2 solutions should make both equations true)

Example 1 Solution:

Example 2

Example 3

Work Set Ex: 4.4, Text Numbers 1, 2, 4, 5 (LHS only). ALGEBRA TEST – Thursday 19/3/15 45 mins, full working required, Do Chapter Review questions for prep.