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Math 1: Algebra, Geometry and Statistics Ms. Sheppard-Brick 617.596.4133 http://lps.lexingtonma.org/Page/2434 Name: Date: Solving Systems by Elimination – Section 4.08 – Guided Notes This method works because you can add and subtract equations if you line them up along the equal sign. Example 1: Solve the system using elimination. Steps −4𝑥 + 6𝑦 = 3 −4𝑥 − 2𝑦 = −1 1. 2. 3. 4. 5. 1 Math 1: Algebra, Geometry and Statistics Ms. Sheppard-Brick 617.596.4133 http://lps.lexingtonma.org/Page/2434 Name: Date: Sometimes, you have to multiply both equations by a constant before one variable can be eliminated. Example 2: Solve the systems using elimination. 5𝑦 − 2𝑥 = −15 12𝑦 + 3𝑥 = 3 2 Math 1: Algebra, Geometry and Statistics Ms. Sheppard-Brick 617.596.4133 http://lps.lexingtonma.org/Page/2434 Practice: Solve each system of equations using elimination. 4𝑥 − 5𝑦 = 15 4𝑥 + 2𝑦 = −6 1. 2. Name: Date: 6𝑥 − 12𝑦 = 24 −𝑥 − 6𝑦 = 4 3 3. Math 1: Algebra, Geometry and Statistics Ms. Sheppard-Brick 617.596.4133 http://lps.lexingtonma.org/Page/2434 5𝑥 + 𝑦 = 30 3𝑥 − 4𝑦 = 41 4. Name: Date: 5𝑥 − 2𝑦 = 30 9𝑥 − 2𝑦 = 54 4