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Transcript
SWBAT: Graph Systems of Linear Equations Lesson 8-1 Do Now: Sketch the graph of the equation 2x + y = 5. Introduction to Solution Sets of Simultaneous Equations (System of Equations) A system of linear equations is a set of two or more linear equations containing two or more variables. A solution of a system of linear equations with two variables is an ordered pair that satisfies each equation in the system. So, if an ordered pair is a solution, it will make both equations true. Finding solutions to a system of equations graphically 1) 2) The solution to this system is_________________ The solution to this system is_____________ 1 3) SWBAT: Graph Systems of Linear Equations Lesson 8-1 4) The solution to this system is_________________ The solution to this system is_____________ Verifying Solutions of a System of Linear Equations Tell whether the ordered pair is a solution of the given system. 5) 6) 2 SWBAT: Graph Systems of Linear Equations Lesson 8-1 Solving systems of linear equations graphically 7) Solve the system of linear equations graphically y x 4 y 2 x 1 y x 4 y 2 x 1 solution to the system____________________ a) Verify algebraically the ordered pair is a solution to the system. 3 SWBAT: Graph Systems of Linear Equations Lesson 8-1 8) Solve the system of linear equations graphically 4 x 2 y 10 y 2 x 1 y 2 x 1 4 x 2 y 10 Solution to the system____________________ 9) Write a system of equations using the data in the table. Use the tables to answer the questions: x -4 -2 0 2 4 y 1 3 5 7 9 x -4 -2 0 2 4 y 7 3 -1 -5 -9 a) Using the tables, create a system of linear equations. b) Solve the system by graphing the equations. c) What is the solution set? ______________________________ 4 SWBAT: Graph Systems of Linear Equations Lesson 8-1 LESSON PRACTICE 5 SWBAT: Graph Systems of Linear Equations Lesson 8-1 LESSON PRACTICE ANSWER KEY 6
