Graphing Systems of Graphing Systems of EquationsEquations

By: Derron LedbetterBy: Derron Ledbetter

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Kyra BennKyra Benn

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How do you graph systems of equationsHow do you graph systems of equationsTell me moreTell me more

Types of graphsTypes of graphsPractice problemsPractice problems

AnswersAnswersHelpful websitesHelpful websites

Image obtained from www.library.thinkquest.orgImage obtained from www.library.thinkquest.org

What Does Graphing Systems of What Does Graphing Systems of Equations Mean?Equations Mean?

Graphing systems of equations means Graphing systems of equations means that you must solve two equations to find that you must solve two equations to find where they intersect.where they intersect.

How to Graph Systems of How to Graph Systems of Equations.Equations.

First find your solution by solving the equation.First find your solution by solving the equation. y=-x+8 solutiony=-x+8 solution y=4x-7 (3,5)y=4x-7 (3,5)

Take your equations y=x+8 and on the y axis go up to 8 and for the Take your equations y=x+8 and on the y axis go up to 8 and for the x up one and over one.x up one and over one.

Do the same thing to the next equationDo the same thing to the next equation Go down -7 and for 4x go up 4 and over 4.Go down -7 and for 4x go up 4 and over 4. Once that is complete connect the lines to get your solution (3,5).Once that is complete connect the lines to get your solution (3,5). Your solution is where the lines meet.Your solution is where the lines meet.

Types of GraphsTypes of Graphs

Exactly one solutionExactly one solution infinitely manyinfinitely many no solutionsno solutions

Consistent and Consistent and independentindependent

Consistent and Consistent and dependentdependent

Inconsistent Inconsistent

Practice ProblemPractice Problemtell the type of solution for 2,3,6,7 for others tell the type of solution if it is one name it.tell the type of solution for 2,3,6,7 for others tell the type of solution if it is one name it.

1.y=-x1.y=-x

y=2x-6y=2x-6

2. y=-x-22. y=-x-2

y=2x-4y=2x-4

3. y=x-43. y=x-4

y=1/3x-2y=1/3x-2

4. 3x+y=34. 3x+y=3

2y=-6x+62y=-6x+6

5.y=3x-45.y=3x-4

y=-3x-4y=-3x-4

6.y=2x+16.y=2x+1

y=2x-4y=2x-4

7.2y-4x=27.2y-4x=2

y=2x-4y=2x-4

8.x=28.x=2

3x-y=83x-y=8

9. x+y=49. x+y=4

x+y=1x+y=1

10.3x+2y=10.3x+2y=1212

3x+2y=63x+2y=6

Answer KeyAnswer Key

1.One solution;(2,-2) 1.One solution;(2,-2) 2.One solution2.One solution3.One solution3.One solution4.Infinitly many solutions4.Infinitly many solutions5.(0,-4) one solution5.(0,-4) one solution6. No solution6. No solution7. No solution7. No solution8.One solution; (2,-2)8.One solution; (2,-2)9. No solution9. No solution10.No solution10.No solution

Helpful WebsitesHelpful Websites

www.sparknotes.comwww.sparknotes.comwww.librarythinkquest.orgwww.librarythinkquest.org www.coolmath4kids.comwww.coolmath4kids.comhttp://cte.jhu.edu/techacademy/web/2000/http://cte.jhu.edu/techacademy/web/2000/

heal/mathsites.htmheal/mathsites.htm

www.mathpalyground.com/games.htmlwww.mathpalyground.com/games.html