Systems of Equations. What you should be able to answer after learning about systems of...

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Systems of Equation s

Transcript of Systems of Equations. What you should be able to answer after learning about systems of...

Page 1: Systems of Equations. What you should be able to answer after learning about systems of equations….. A gym membership at one gym costs $10 every month.

Systems of Equations

Page 2: Systems of Equations. What you should be able to answer after learning about systems of equations….. A gym membership at one gym costs $10 every month.

What you should be able to answer after learning about systems of equations…..

A gym membership at one gym costs $10 every month plus a one-time membership fee of $15, and a gym membership at a another gym costs $4 every month plus a one-time $40 membership fee. After about how many months will the gym membership cost the same amount?

Page 3: Systems of Equations. What you should be able to answer after learning about systems of equations….. A gym membership at one gym costs $10 every month.

Definitions• A System of Linear Equations consists of two or

more linear equations that have the same variables.

• A Solution of a System of Linear Equations is any order pair that satisfies all the equations.

• A Consistent System has at least one solution.

• An Independent System has exactly one solution.

• A Dependent System has infinitely many solutions.

• An Inconsistent System has no solution.

Page 4: Systems of Equations. What you should be able to answer after learning about systems of equations….. A gym membership at one gym costs $10 every month.

Special Cases

• One Point of intersection.

• One solution

• Consistent

• Independent

• Different Slope

Page 5: Systems of Equations. What you should be able to answer after learning about systems of equations….. A gym membership at one gym costs $10 every month.

• The same line

• Infinitely many solutions

• Consistent

• Dependent

• Coincident Lines

• Same slope

• Same Intercept

Page 6: Systems of Equations. What you should be able to answer after learning about systems of equations….. A gym membership at one gym costs $10 every month.

• Parellel Lines

• No Intersection

• No Solution

• Inconsistent

• Same slope

• Different Y-Intercept

Page 7: Systems of Equations. What you should be able to answer after learning about systems of equations….. A gym membership at one gym costs $10 every month.

Steps to find solution

• Change both equations to slope intercept form (if needed)

• Graph the lines using the y-intercept and slope.

• Y = mx + b m = slopeb = y – intercept (starting point)


Chapter 4 Systems of Equations 4.1 Systems of Equations in Two Variables.

Chapter 4 Systems of Equations 4.1 Systems of Equations in Two Variables.

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Chapter 4 Systems of Equations and Problem Solving How are systems of equations solved?

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Unit 2A Linear Systems · Unit 2A –Linear Systems •Systems of Linear Equations •Solving Systems of Equations by Graphing •Solving Systems of Equations by Substitution . Solving

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Linear Systems of Equations. Direct Methods for Solving Linear Systems of Equations.

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Equations and Systems of Equations - Lehman College and Systems of Equations Linear and nonlinear equations There are two groups of equations and systems of equations: linear and nonlinear.

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Worksheet 54 (10 · Web viewChapter 10 Systems of Equations 10.1 Systems of Two Linear Equations in Two Variables Summary 1: Systems of Equations A system of two linear equations

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Linear Equations Systems of Linear Equations - Introduction of Linear Equations.pdfLinear Equations Systems of Linear Equations - Tables Objectives: • Solving systems of Linear Equations

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1 Chapter 7 – Linear Systems Systems of Linear Equations Solving Systems of Equations by Graphing Solving Systems of Equations by Substitution.

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7.4 – SOLVING SYSTEMS OF LINEAR EQUATIONS USING A SUBSTITUTION STRATEGY SYSTEMS OF LINEAR EQUATIONS.

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SYSTEMS OF EQUATIONS AND MATRICES WITH THE TI-89 by …150.210.155.246/sacc/documents/Systems of Equations and Matrices with... · systems of equations and matrices

SYSTEMS OF EQUATIONS AND MATRICES WITH THE TI-89 by …150.210.155.246/sacc/documents/Systems of Equations and Matrices with... · systems of equations and matrices

Systems of Linear Equations and Matrices - … Chapter 1 Systems of Linear Equations and Matrices 1.1 Introduction to Systems of Linear Equations Systems of linear equations and their

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Systems of Linear Equations or Simultaneous Equations

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Systems. Day 1 Systems of Linear Equations System of Linear Equations: two or more linear equations together The solution of the system of equations.

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7.6– PROPERTIES OF SYSTEMS OF LINEAR EQUATIONS SYSTEMS OF LINEAR EQUATIONS.

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Chapter 2 Systems of Linear Equations and Inequalities Table of Contents 2.1 Systems of Linear Equations 2.2 Solving Systems of Equations Using the Substitution.

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Equations and Systems of Equations - Lehman College · Equations and Systems of Equations Linear and nonlinear equations ... Transcedental equations cannot be solved with Solve, NSolve,

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COLLEGE ALGEBRA 6.1 Systems of Linear Equations in Two Variables 6.2 Systems of Equations in Three Variables 6.3 Nonlinear Systems of Equations 7.1 Gaussian.

COLLEGE ALGEBRA 6.1 Systems of Linear Equations in Two Variables 6.2 Systems of Equations in Three Variables 6.3 Nonlinear Systems of Equations 7.1 Gaussian.