Algebra 2 Monday, October 20, 2014

Slides:



Advertisements
Similar presentations
3.2 Solving Systems Algebraically 2. Solving Systems by Elimination.
Advertisements

Drill Solve the linear system by substitution. 1.y = 6x – 11 -2x – 3y = x + y = 6 -5x – y = 21.
Do Now Pass out calculators. Solve the following system by graphing: Graph paper is in the back. 5x + 2y = 9 x + y = -3 Solve the following system by using.
Solving Systems of Linear Equations 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.
Bell Work2/12/15 Solve the system by elimination..
5.3 Solving Systems using Elimination
Lesson 6-3 – Solving Systems Using Elimination
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.
5.1 Solving Systems of Linear Equations by Graphing
3.2 Solving Systems Algebraically
8.1 Solving Systems of Linear Equations by Graphing
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.
Warm up Add the following polynomials x + 2y = 10 5y – x = 7 + 4x – 3y = 1 + 9y + 4x = -1.
Goal: Solve a system of linear equations in two variables by the linear combination method.
Solving Systems Using Elimination
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.
Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.
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.
Do Now (3x + y) – (2x + y) 4(2x + 3y) – (8x – y)
MTH Algebra THE ADDITION PROPERTY OF EQUALITY CHAPTER 2 SECTION 2.
Solve Linear Systems by Substitution January 28, 2014 Pages
Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.
Multiply one equation, then add
Algebra 2Friday, October 17, 2014 Complete Warm-ups Slide (see page 2 of this packet) Check in and discuss A#3.1 Discussion/Notes/Guided Practice Section.
Chapter 4: System of Equations and Inequalities Section 4.4: Solving Linear Systems Using the Addition Method.
Solve Linear Systems by Elimination February 3, 2014 Pages
3.3 Solving Linear Systems by Linear Combination 10/12/12.
Warm Up Solve by graphing (in your calculator) 1) 2)
Warm Up Solve each inequality. 1. x + 3 ≤ x ≤ 7 23 < –2x + 3
Lesson 9-5 Multiplication with the Addition /Subtraction Method Objective: To use multiplication with the addition or subtraction method to solve systems.
3.2 Solve Linear Systems Algebraically Algebra II.
Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Elimination.
Solving Systems of Linear Equations in 2 Variables Section 4.1.
Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.
Ch. 3 Notes 3.1 – 3.3 and 3.6.
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.
December 12, 2011 By the end of today: I will know how to solve systems by elimination.
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.
Solving Systems by Elimination
Solve Linear Systems By Multiplying First
6) x + 2y = 2 x – 4y = 14.
ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.
Solving Systems of Linear Equations in 3 Variables.
Algebra Review Systems of Equations page 69
Chapter 3: Linear Systems
Solving Linear Equations
Lesson Objectives: I will be able to …
Solving Linear Systems by Linear Combinations
Solve a system of linear equation in two variables
6-3 Solving Systems Using Elimination
Solve Linear Systems Algebraically (part 2) Elimination
Bellringer. October 25, 2017 Worksheet. Turn in homework.
Objective: To solve systems of second degree equations
Solve Linear Equations by Elimination
Before: December 4, 2017 Solve each system by substitution. Steps:
Objectives Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate method for solving systems of linear equations.
Solving One and Two Step Equations
7.3 Notes.
Solving Systems of Linear Equations in 3 Variables.
Warm Up 12/3/2018 Solve by substitution.
Solve the linear system.
Warm Up Check to see if the point is a solution for the
Warm Up Solve by graphing Solve by substitution.
6.3 Using Elimination to Solve Systems
Example 2B: Solving Linear Systems by Elimination
The student will be able to:
Warm-Up # Is (–1, 4) a solution to
Presentation transcript:

Algebra 2 Monday, October 20, 2014 Complete Warm-ups Slide (see page 2 of this packet) Check in and discuss A#3.21 page 127 #1-4; 12-17; 24; 25 Discussion/Notes/Guided Practice Section 3.2 Part 2: Solve Systems by Elimination Homework: A#3.22 page 127 #6-11; 18-23 MUST see original equations and ALL work in order to receive credit

Solve a linear system of equations using the Elimination Method Q&A After this section, you will be able to: Success Criteria: Solve a linear system of equations using the Elimination Method Q&A Guided Practice Homework

Warm ups: Solve the following systems by Graphing:

Warm ups: Solve the following systems using Substitution: 1. 2𝑥−𝑦=9 2. 2𝑥+2𝑦=4 𝑥+3𝑦=−6 𝑥−2𝑦=0

Elimination Method Using this method, you eliminate one of the variables by adding or subtracting the equations. Note: when you add two true equations, the result is a new equation that is also true!

Guided Practice #1: Solve Using Elimination

b. 2𝑥−𝑦=7 3𝑥+𝑦=8

Example 2: Solve by Elimination (Multiply one equation first) 2𝑥−4𝑦=−26 3𝑥−𝑦=−24

Guided Practice #2: Solve Using Elimination a. 3𝑥−𝑦=12 5𝑥+2𝑦=20 b. 4𝑥−𝑦=6 2𝑥− 𝑦 2 =4

Example 3: Solve by Elimination (Multiply both equations first) 3𝑥−2𝑦=4 5𝑥+3𝑦=−25

Guided Practice #3: Solve Using Elimination a. 7𝑥+2𝑦=−1 4𝑥−3𝑦=−13 b. 5𝑥+4𝑦=12 7𝑥−6𝑦=40

A#3.22 page 127 #6-11; 18-23