Look at Part 1. What is the equation of Line 1?
What is the equation of Line 2?
What does it mean to solve a system of equations?
Answers vary. Students should be able to articulate that solving a system means finding the ordered pair that makes both equations true. this can also be represented by the point where the graphs of the two equations intersect.
What is the solution to this system of equations? How do you know?
Look at the equation in Part 2. How is it related to the equations you found in Questions 1 and 2?
Answers vary; encourage students to notice that the equation in Part 2 was created by setting the right sides of the two equations equal to one another.
Why is the equation in Part 2 useful for solving this system?
It can be used to find the
What are three possible first steps in solving this equation?
Possible answers: Add
If you add
Finish solving. What is the value of
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