Warm Up Convert to slope intercept form. Convert to standard form.

HW Check – 7.1

Word Problems (from yesterday)

Unit 7 – Systems of Linear Equations Day 1 – Introduction to Systems

What is a System of linear Equations? Two or More Linear Equations grouped together. (Recall: Linear Equations = equations of a line) Example:

Solutions of a Linear System **Any ordered pair (x,y) that makes ALL equations in the system TRUE.**

Is the ordered pair a Solution? **Substitute the x and y into the equation** TRUE Statement  A solution FALSE Statement  NOT a solution Ex #1 Is (6, 5) a solution to the system?

#2) Is (2,-1) a solution to the system? #3) Is a solution to the system?

Volunteers. Draw 2 lines that would satisfy each type of solution. One Solution No Solution Infinitely Many Solutions Have 3 students draw 2 lines for each type of solution.

3 Types of Solutions One Solution  one ordered pair The Lines INTERSECT  SLOPES are DIFFERENT

NO Solution  The lines NEVER intersect The lines are PARALLEL  SLOPES are the SAME, Y-INTERCEPT is DIFFERENT

Infinitely Many Solutions  The two lines are the SAME line The lines lie on top of each other  SLOPES and Y-INTERCEPT are the SAME

Representation of solution Type of System Slope Y-intercept Number of Solutions Representation of solution Intersecting Parallel Same Line

Coming up… HW tonight – 7.2 Math Department Tutoring today in Room 2622 Mrs. Wolf’s Tutoring – Thursday after school Quiz 7.1 Friday!