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

Slides:

Advertisements

Similar presentations

Solve a System Algebraically

Advertisements

Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to solve an equation.

3-6 Solving Systems of Linear Equations in Three Variables Objective: CA 2.0: Students solve systems of linear equations and inequalities in three variables.

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

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

Part 2.  Review…  Solve the following system by elimination:  x + 2y = 1 5x – 4y = -23  (2)x + (2)2y = 2(1)  2x + 4y = 2 5x – 4y = -23  7x = -21.

3-2 Solving Systems Algebraically (p. 125) Algebra 2 Prentice Hall, 2007.

3.5 Solving systems of equations in 3 variables

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.

5.3 Systems of Linear Equations in Three 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: Elimination Method.

Unit 1.3 USE YOUR CALCULATOR!!!.

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 =

3.5 Solving Systems of Equations in Three Variables The student will be able to solve systems of linear equations in three variables algebraically.

3.5 – Solving Systems of Equations in Three Variables.

6.5 – Applying Systems of Linear Equations

Table of Contents Solving Linear Systems of Equations - Dependent Systems The goal in solving a linear system of equations is to find the values of the.

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

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.

3.2 Solving Linear Systems Algebraically p Methods for Solving Algebraically 1.Substitution Method (used mostly when one of the equations has.

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

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

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

Solving Linear Systems by Substitution

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

Solving Systems of Equations

Y=3x+1 y 5x + 2 =13 Solution: (, ) Solve: Do you have an equation already solved for y or x?

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

Topic 6.5. Solve Systems by Substitution Objectives: Solve Systems of Equations using Substitution Standards: Functions, Algebra, Patterns. Connections.

Solving a Linear Inequality. Solving an Inequality In order to find the points that satisfy an inequality statement: 1. Find the boundary 2. Test every.

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

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

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

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

3.5 Solving systems of equations in three variables Main Ideas Solve systems of linear equations in three variables. Solve real-world problems using systems.

Algebra 1 Review Systems of Linear Equations Using Substitution

6) x + 2y = 2 x – 4y = 14.

2.2 Solving Systems of Equations in 3 Variables

Warm UP: Solve the following systems of equations:

Solving Systems Of Equations Algebraically

Thursday Warmup Homework Check: Document Camera.

Solving Systems of Linear Equations in 3 Variables.

3.4 Solving Systems with 3 variables

Warm-Up Graph Solve for y: Graph line #2.

Algebra 1 Section 7.3 Solve linear systems by linear combinations

THE SUBSTITUTION METHOD

Solve Systems of Linear Equations in Three Variables

Solving Linear Systems Algebraically

Lesson 7-4 part 3 Solving Systems by Elimination

Lesson 7-4 part 2 Solving Systems by Elimination

3.5 Solving systems of equations in 3 variables

Solving Linear Systems

Solve Systems of Linear Equations in Three Variables

Simultaneous Equations

Lesson 7-4 part 3 Solving Systems by Elimination

3.4 Solving Systems of Linear Equations in 3 Variables

College Algebra Chapter 5 Systems of Equations and Inequalities

Notes Solving a System by Elimination

Notes Solving a System by Elimination

Solving Systems of Three Linear Equations in Three Variables

Solving Systems of Linear Equations in 3 Variables.

Systems of Equations Solve by Graphing.

Solve the linear system.

Example 2B: Solving Linear Systems by Elimination

6-3 Solving Systems Using Elimination (Combination)

3.2 Solving Linear Systems Algebraically

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

Presentation transcript:

OBJ: Solve Linear systems graphically & algebraically Do Now: Solve GRAPHICALLY 1) y = 2x – 4 y = x - 1 Do Now: Solve ALGEBRAICALLY *Substitution OR Linear Combination 2) 2x + 3y = 5 2x + y = 4 IN YOUR NOTEBOOK….

3.6 Solving Systems of Linear Equations in Three Variables CHOOSE THE SAME VARIABLE TO ELIMINATE FROM EACH SET: EQN 1&2 THEN EQN 2&3 SOLVE AGAIN BUT USING THE NEW EQNS THIS TIME SUBSTITUTE TO FIND THE LAST VARIABLE

3x + 2y + 4z = 11 2x – y + 3z = 4 5x – 3y + 5z = -1 * FIND WHICH VARIABLE YOU CAN ELIMINATE FROM EQN 1 & 2 AND EQN 2 & 3 Ex:

* LETS PICK TO ELIMINATE “y” 3x + 2y + 4z = 11 2x – y + 3z = 4

* SINCE YOU ELIMINATED “y” YOU NEED TO ELIMINATE THE SAME VARIABLE AGAIN NOW 2x – y + 3z = 4 5x – 3y + 5z = -1

* SOLVE THE NEW EQUATIONS FROM EQN 1&2: 7x + 10z = 19 FROM EQN 2&3: -x – 4z = -13

* SUBSTITUTE BACK INTO ANY OF THE ORIGINAL EQUATIONS TO FIND THE REMAINING VARIABLE 3x + 2y + 4z = 11

* WRITE THE SOLUTION AS AN ORDERED TRIPLE (-3, 2, 4)