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Lesson 9-5 Multiplication with the Addition /Subtraction Method

Lesson 9-5 Multiplication with the Addition /Subtraction Method. Objective: To use multiplication with the addition or subtraction method to solve systems of linear equations. Warm up. 1. 8q + 12 r = 20 5q + 12 r = -1 2. a – 2b = 0 a + 2b = 12 3. 2.58d – 0.03e = 15

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Lesson 9-5 Multiplication with the Addition /Subtraction Method

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  1. Lesson 9-5 Multiplication with the Addition /Subtraction Method Objective: To use multiplication with the addition or subtraction method to solve systems of linear equations.

  2. Warm up • 1. 8q + 12 r = 20 • 5q + 12 r = -1 • 2. a – 2b = 0 • a + 2b = 12 • 3. 2.58d – 0.03e = 15 • 1.72d – 0.03e = 19.4

  3. Solve by Addition/Subtraction with Multiplication • 6x + y = 6 • 3x + 2y =9 • Adding or subtracting these won’t drop out one of the variables. • So- multiply one of the equations so that a variable will have the same coefficient as the variable in the other equation. • Then add or subtract.

  4. Example • 4x – 5y = 3 • 3x + 2y = - 15 (-3. -3)

  5. Practice • 4x – 2y =10 3x – y =12 (7,9) • 5a + 3b = 43 • -a + 7b = -1 (8,1) • m + 2n = 6 • -2m + 4n =28 (-4, 5)

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