Monday Homework: Finish 5.1 Day 2 Worksheet 1st: Pick up a warmup sheet 2nd: Fill Out Planner 3rd: Take out Spiral Notebook, Pencil, Math Facts 4th: Complete warm up then practice math facts Solve the equation for y 𝟑 𝟒 𝒚− 𝟏 𝟒 𝒚+𝟑=𝟕 What is the slope of the line that passes through −𝟐,−𝟐 (𝟑, −𝟏)? 5 minute timer

Dress Code Math Facts 7th Announcements Weekly Review Hints

Challenge of the Week Tom asked his Granny how old she was. Rather than giving him a straight answer, she replied: "I have 6 children, and there are 4 years between each one and the next. I had my first child (Your Uncle Peter) when I was 19. Now the youngest one (Your Auntie Jane) is 19 herself. That's all I'm telling you!" How old is Tom's Granny? ** YOU MUST SHOW ALL OF YOUR WORK TO RECEIVE CREDIT, GUESSING A NUMBER WILL NOT COUNT.

Plan This Week Monday: Lesson 5.1 – Day 2 Tuesday: Lesson 5.3 – Day 1 Wednesday: Lesson 5.3 – Day 2 Thursday: Lesson 5.3 – Day 3 Friday: Quiz 5.1 & 5.3 (Critical Thinking Activity)

Example 6 Solve the system by graphing 𝒚−𝟓=𝟐𝒙 − 𝟏 𝟐 𝒙+𝒚=−𝟏 𝒚−𝟓=𝟐𝒙 − 𝟏 𝟐 𝒙+𝒚=−𝟏    The lines intersect at (______ , ______), so the solution is (______ , ______)

The lines intersect at (__- 4__ , __- 3__), so the solution is (__- 4__ ,__- 3__) Check: 𝒚−𝟓=𝟐𝒙 − 𝟏 𝟐 𝒙+𝒚=−𝟏

Parallel Lines Same Slopes and Different Intercepts NO Solution

Example 7 Solve the system by graphing 𝒚− 𝟏 𝟑 𝒙=−𝟏 𝒚−𝟑= 𝟏 𝟑 𝒙 𝒚− 𝟏 𝟑 𝒙=−𝟏 𝒚−𝟑= 𝟏 𝟑 𝒙   The solution is _______________________ .

Same Lines Same Slopes and Same Intercepts Infinitely Many Solutions

Example 8 Solve the system by graphing 𝒚−𝟐𝒙=𝟐 𝟐𝒚−𝟒=𝟒𝒙 𝒚−𝟐𝒙=𝟐 𝟐𝒚−𝟒=𝟒𝒙   The solution is _______________________ .

Example 9 Solve the system by graphing 𝒚=𝟐𝒙+𝟔 𝒚+𝟐𝒙=−𝟐 𝒚=𝟐𝒙+𝟔 𝒚+𝟐𝒙=−𝟐    The solution is _______________________ .

What are the three types of solution’s we have when solving systems of linear equation? 1. 2. 3.