Tuesday Homework: 5.3 Day 1 Worksheet

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Presentation transcript:

Tuesday Homework: 5.3 Day 1 Worksheet 1st: Fill Out Planner 2nd: Turn in homework to the yellow folder 3rd: Take out Spiral Notebook, Pencil, Math Facts, Separate Sheet of Paper 4th: Complete warm up on whiteboard then practice math facts Match the system of linear equations with the corresponding graph. 𝒚=𝒙+𝟒 & 𝒚=𝟑𝒙−𝟏 (hint: identify the slopes and y-intercepts of the equations & in each graph) 5 minute timer

Dress Code Math Facts Grade Homework 7th Announcements

5.3 Solving Systems of Linear Equations by Elimination Essential Question: How do you solve systems of linear equations by elimination? I would like to do the journal packet activity with the tearing of the triangle angles (Activity 1) but with the 3.1 review activity and tearing out the journal pages I don’t think that there is going to be enough time.

Vocabulary Review A system of equations is a set of two or more linear equations that contain two or more variables. A solution of a system of equations is an ordered pair that is a solution of all of the equations. It is where the equations intersect on the graph.

Steps Line up variables and constants One variable must have opposite coefficient Add to cancel out one variable Solve for the variable left over Substitute answer in for the same variable in one of the original equations Solve for the other variable Check the solution

Example 1 Solve the system of linear equations by elimination 𝟐𝒙−𝟐𝒚=𝟏𝟎 𝟒𝒙+𝟐𝒚=𝟖

Example 2 Solve the system of linear equations by elimination −𝒙+𝟑𝒚=𝟒 𝒙+𝟑𝒚=𝟐

Example 3 Solve the system of linear equations by elimination −𝟓𝒙+𝟐𝒚=𝟏𝟑 𝒚+𝟓𝒙=−𝟏