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Slides from 1-13-16 Flashback: Solve each system of equations by the elimination method 2x + 3y = -14 4x – 3y = 2 More complicated problems Thought Process Example 1. Do I have variables that are multiples of each other? 2. Do I have variables that are opposite signs of each other? 3. Choose a variable to eliminate and make them additive inverses 1. 2𝑥 + 𝑦 = 12 7𝑥 + 2𝑦 = −35 2. 3𝑥 + 4𝑦 = 18 7𝑥 − 5𝑦 = 36 3. 2𝑥 − 3𝑦 = 0 3𝑥 − 2𝑦 = 5 Example 1: Solve each system of equations by the elimination method 2x + 3y = 5 -x + 2y = 8 Example 2: Solve each system of equations by the elimination method 3x + 7y = -33 5x – 2y = -14 Guided Practice: Solve each system of equations by the elimination method 1. 3x – 4y = 7 2x – y = 3 2. 2x – 3y = 0 3x – 2y = 5 3. -2x + 6y = 3 x – 3y = 14 Guided Practice: Solve each system of equations by the elimination method 1. 3x – 4y = 7 2x – y = 3 (1, -1) 2. 2x – 3y = 0 3x – 2y = 5 (3, 2) 3. -2x + 6y = 3 x – 3y = 14 No solution Homework • Work on your homework; solutions may be posted online. • Complete for a grade; we will check it tomorrow • https://www.youtube.com/watch?v=tphSgpilNv8 – a link showing Elimination from the YAYMATH guy