Linear Systems

System’s of Linear Equations Donald Saunders

What is it and how do we solve it? ,[object Object],[object Object],[object Object]

Three methods used to solve ,[object Object],[object Object],[object Object]

Substitution Method We will be substituting part of one equation into the other equation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Graphing Method A linear system of equations are two lines. Let’s graph our lines to see what happens. y = x and x + y = 2

Graphing Method Remember our solution was (1,1), so let’s identify this on our graph and deduce how we can identify our solution using the graphing method

How can we identify the solution to a system of linear equations if we graph them? ,[object Object],[object Object],[object Object]

Elimination method ,[object Object],[object Object],[object Object],[object Object]

Elimination Method ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

More Practice If you need more practice you can go to the J lab website

References ,[object Object],[object Object]

Correct ,[object Object],[object Object]

Incorrect The y-axis and x-axis have nothing to do with the solution. These are only points used to graph our two lines Back to Quiz

Linear Systems

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Linear Systems