Warm-Up Tyler is catering a banquet for 250 people. Each person will be served either a chicken dish that costs $5 each or a beef dish that costs $7.

Slides:

Advertisements

Similar presentations

Section 6.4 Applications of Linear System

Advertisements

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

Table of Contents Solving Linear Systems of Equations - Substitution Method Recall that to solve the linear system of equations in two variables... we.

SOLVING SYSTEMS USING SUBSTITUTION

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

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.

5.1 Solving Systems of Linear Equations by Graphing

Do Now 1/12/12  In your notebook, answer the following question. During a football game, a bag of popcorn sells for $2.50 and a pretzel sells for $2.00.

Applications of Systems of Equations Lesson 6-4 Day 1 Nov. 7, 2014.

Solving Systems of Equations

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.

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

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 Linear Systems of Equations - Substitution Method Recall that to solve the linear system of equations in two variables... we need to find the value.

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.

Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.

1 Section 5.3 Linear Systems of Equations. 2 THREE EQUATIONS WITH THREE VARIABLES Consider the linear system of three equations below with three unknowns.

Notes – 2/13 Addition Method of solving a System of Equations Also called the Elimination Method.

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

Systems of Equations Standards: MCC9-12.A.REI.5-12

6.4 Application of Linear Systems

WARM UP GRAPHING LINES Write the equation in slope- intercept form and then Graph. (Lesson 4.7) 1.3x + y = 1 2.x + y = 0 3.y = -4 3.

Section 8.1 Systems of Linear Equations; Substitution and Elimination.

7-3: Solving Systems of Equations using Elimination

Systems of Equations By Substitution and Elimination.

Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.

Solving a System of 3 Equations with 3 Unknowns. Breakdown Step 1 Labeling Step 2 Reduce to a 2 by 2 Step 3 Substitute Back In Step 4 Check Solution.

6-4: Applications of Linear Systems Algebra 1. Solving a System Graphing: When you want a __________ display of when you want to estimate the solution.

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.

Solving Systems of Linear Equations in 2 Variables Section 4.1.

6.1 Solving by Graphing: Remember: To graph a line we use the slope intercept form: y = mx +b STARING POINT (The point where it crosses the y-axis)

WARM-UP. SYSTEMS OF EQUATIONS: ELIMINATION 1)Rewrite each equation in standard form, eliminating fraction coefficients. 2)If necessary, multiply one.

Warm-Up Solve the system by graphing y = x + 2 x = −3 Solve the system by graphing 4x + y = 2 x − y = 3.

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.

Solving Linear Systems

6.3 Solving Systems of Linear Equations by the Addition Method

X.2 Solving Systems of Linear Equations by Substitution

Chapter 6 Conic Sections

Aim #8.1:How do we solve systems of equations with two variables?

Thursday Warmup Homework Check: Document Camera.

Systems of Nonlinear Equations

Solving Systems of Linear Equations in 3 Variables.

Homework Review: Sect 6.4 # 8 – 18 even

5.2 Solving Systems Using Substitution

Solving Linear Systems Algebraically

Solve a system of linear equation in two variables

Systems of Linear Equations; Substitution and Elimination

Lesson 7-4 part 3 Solving Systems by Elimination

REVIEW: Solving Linear Systems by Elimination

Lesson 7-4 part 2 Solving Systems by Elimination

Solving Systems of Equations using Substitution

Linear Programming WKST

Lesson 7-4 part 3 Solving Systems by Elimination

Warm Up Solve each quadratic equation by factoring. Check your answer.

7.2 Solving Systems of Equations by Substitution

Solving systems using substitution

infinitely many solutions

Solving Systems of Linear Equations in 3 Variables.

Systems of Equations Solve by Graphing.

Solving Systems of Equations (by Substitution)

Warm Up Solve by graphing Solve by substitution.

Solving Systems of Equations by Elimination Part 2

6.3 Using Elimination to Solve Systems

Example 2B: Solving Linear Systems by Elimination

Warm-Up # Is (–1, 4) a solution to

Warm- Up: Solve by Substitution

Systems of Linear Equations; Substitution and Elimination

Presentation transcript:

Warm-Up Tyler is catering a banquet for 250 people. Each person will be served either a chicken dish that costs $5 each or a beef dish that costs $7 each. Tyler spent $1500. How many dishes of each type did Tyler serve? 1.) What is the question asking you to find? 2.) What are variables you could use to represent what you are trying to find? 3.) What are some important pieces of information that you would need to solve this problem? 4.) How do these numbers and variables relate?

Section 6.4: Applications of Linear Systems SWBAT choose the best method to solve a system of linear equations SWBAT use a system to model real-life problems

Ways to solve a system of linear equations Graphing Use to approximate solutions, check solutions, and provide visual models. Substitution Use when one of the variables has a coefficient of 1 or -1 Elimination Use when none of the variables have a coefficient of 1 or -1

Example Choose a method to solve the linear system. Explain your choice. 6x + y = 2 9x – y = 28

Example Choose a method to solve the linear system. Explain your choice. 3x + 6y = 21 -6x + 3y = -27

A fashion designer makes and sells hats A fashion designer makes and sells hats. The material for each hat costs $5.50. The hats sell for $12.50 each. The designer spends $1400 on advertising. How many hats must the designer sell to break even?

A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue of $561. Right handed gloves cost $45 and left handed gloves cost $52. Let x represent the number of right handed gloves sold and let y represent the number of left handed gloves sold. Write a system of equations and solve to find the number of each type of glove sold.