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Section 4 – Topic 5 Introduction to Systems of Equations 1. Consider the following system of equations. Line 1: u T E U L x Line 2: u T F U L x Part A: Graph the system of equations below. Part B: What is the solution to the system of equations? Part C: Explain how you know it is the solution. T U 2. Consider the following system of equations. Line 1: t T F U L F u Line 2: F x T F t U L F x Part A: Is : r u ; a solution to Line 1? Explain your answer. Part B: Coordinate : r F u ; is a solution to Line 2. Part C: What are the slopes of Line1 and Line 2? Part D: What are the U F intercepts of Line 1 and Line 2? Part E: Sketch the graph of Line 1 and Line 2. Part F: What is the solution to the system? o True o False T U 3. Consider the following system of equations. Line 1: T E U L F t Line 2: u T F U L t Part A: The ordered pair :F v t ) is a solution to Part B: The ordered pair : t v ; is a solution to Part C: The ordered pair : r F t ; is a solution to Part D: What does the solution to this system of equations represent? 4. Consider the following equation Line 1: T F U L { Line 2: u T E u U L u Part A: The ordered pair (3, F6) is a solution to o Line 1 . o Line 2 . o the system of equations . o Line 1 . o Line 2 . o the system of equations . o Line 1 . o Line 2 . o the system of equations . o Line 1 . o Line 2 . o the system of equations . Part B: The ordered pair ( F1, 1) is a solution to Part C: The ordered pair : w F v ; is a solution to Part D: Sketch the graph of the system. o Line 1 . o Line 2 . o the system of equations . o both . o neither . o the system of equations . T U
