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Elimination Using Multiplication

Learn how to use elimination using multiplication when equations cannot be solved by addition or subtraction. Follow examples and steps to effectively solve systems of equations.

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Elimination Using Multiplication

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  1. Elimination Using Multiplication Chapter 7 Lesson 4

  2. When to use elimination using Multiplication. • Use when the system of equations can not be solved by simply adding or subtracting. • Example: • 3x + 4y = 6 • 5x + 2y = -4 • Neither variable can be eliminated by adding or subtracting.

  3. So how would you solve the problem? • 3x + 4y = 6 * multiply the second • 5x + 2y = -4 equation by -2 • So now we have • 3x + 4y = 6 • -10x - 4y = 8

  4. Now add the equations • 3x + 4y = 6 • (+) -10x - 4y = 8 • - 7x = 14

  5. Solve • - 7x = 14 • - 7 -7 • x = -2

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