Systems of Linear Equations; Substitution and Elimination

Slides:

Advertisements

Similar presentations

System of Linear Equations Project By Julian Rodriguez a.k.a Pablo.

Advertisements

Section 9.2 Systems of Equations

EXAMPLE 3 Standardized Test Practice SOLUTION

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

A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed. 5.1 – Systems of Linear Equations.

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.

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 =

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 11.1 Systems of Linear Equations; Substitution and Elimination.

3-D Systems Yay!. Review of Linear Systems Solve by substitution or elimination 1. x +2y = 11 2x + 3y = x + 4y = -1 2x + 5y = 4.

Section 10.1 Systems of Linear Equations; Substitution and Elimination 1.

System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point.

Chapter 8 Systems of Linear Equations in Two Variables Section 8.2.

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.

Finding a Quadratic Equation from Three Coordinates.

Copyright © 2011 Pearson, Inc. 7.1 Solving Systems of Two Equations.

Chapter 3 –Systems of Linear Equations

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.

Solving Linear Systems by Substitution

WORD PROBLEMS WITH SYSTEMS OF EQUATIONS Objective; Solve application problems using systems of equations.

Section 11.1 Systems of Linear Equations; Substitution and Elimination.

Solving Nonlinear Systems Section 3.5 beginning on page 132.

Chapter Nonlinear Systems.

Systems of Equations and Inequalities Advanced Math Chapter 9.

Section 8.1 Systems of Linear Equations; Substitution and Elimination.

Do Now: Solve the system graphically.. Academy Algebra II/Trig 12.1: Systems of Linear Equations HW: p.847 (18, 22, 30, 34, 42, 46) Quiz 12.1, 12.7: Wed.

Section 7.1 Systems of Linear Equations in Two Variables.

Chapter 8 Systems of Linear Equations in Two Variables Section 8.3.

1.11 Applications with systems I can… write and solve my own systems of linear equations.

Chapter 3 Section 2. EXAMPLE 1 Use the substitution method Solve the system using the substitution method. 2x + 5y = –5 x + 3y = 3 Equation 1 Equation.

Algebra 2 Chapter 3 Review Sections: 3-1, 3-2 part 1 & 2, 3-3, and 3-5.

Algebra II day 36 Chapter 3 Systems of Linear Equations.

Section 8.1 Systems of Linear Equations in Two Variables.

REVIEW OF 3-1 AND 3-2 A) Solve by graphing y = 2x – 1 y = -3/4x + 10

Chapter 10 Conic Sections.

X.2 Solving Systems of Linear Equations by Substitution

Warm UP: Solve the following systems of equations:

Chapter 6 Conic Sections

Chapter 12 Section 1.

Solving Systems Using Elimination

Solving Systems Of Equations Algebraically

Systems of Nonlinear Equations

Solving Nonlinear Systems

Solving Systems of Linear Equations in 3 Variables.

Systems of Linear Equations

Systems of Linear Equations; Substitution and Elimination

Systems of Nonlinear Equations

Algebra: Graphs, Functions, and Linear Systems

Section 2 – Solving Systems of Equations in Three Variables

Solving Linear Systems Algebraically

Solve a system of linear equation in two variables

Section 5.1 Systems of Linear Equations in Two Variables

Simultaneous Equations

3.5 Solving Nonlinear Systems

SIMULTANEOUS EQUATIONS 1

Solving Systems of Linear Equations in 3 Variables.

Systems of Equations Solve by Graphing.

Solve the linear system.

Multivariable Linear Systems

Example 2B: Solving Linear Systems by Elimination

7.1 Solving Systems of Equations

Unit 1 – Section 9 “Applications of Systems of Equations”

Linear and Nonlinear Systems of Equations

Linear and Nonlinear Systems of Equations

Systems of Nonlinear Equations

Systems of Linear Equations; Substitution and Elimination

Presentation transcript:

Systems of Linear Equations; Substitution and Elimination Section 7.1 Systems of Linear Equations; Substitution and Elimination

A movie theater sells tickets for $8 A movie theater sells tickets for $8.00 each, with seniors receiving a discount of $2.00. One evening the theater took in $3580 in revenue. If x represents the number of tickets sold at $8.00 and y the number of tickets sold at the discounted price of $6.00, write an equation that relates these variables. Suppose we also know that 525 tickets were sold. Write another equation relating the variables x and y.

Nonlinear Systems A nonlinear system of equations is a system in which at least one of the equations is not linear equation. Example:

Solve the system graphically. Give the x- and y- coordinates to the nearest hundredth Solution: {( -1.68, -1.78), (2.12, -1.24)}

Linear Systems in Three Variables Section 7.2 Linear Systems in Three Variables

A) B)

A) B) C) D)