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REVIEW

x – y = 3 3x + y = 1. REVIEW. What if neither variable can be eliminated by simply adding or subtracting?. 3x + 4y = 6 5x + 2y = -4 We may have to MULTIPLY before adding or subtracting!. Lesson 7.4- Elimination Using Multiplication, pg. 387. Objectives:

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  1. x – y = 3 3x + y = 1 REVIEW

  2. What if neither variable can be eliminated by simply adding or subtracting? 3x + 4y = 6 5x + 2y = -4 • We may have to MULTIPLY before adding or subtracting!

  3. Lesson 7.4- Elimination Using Multiplication, pg. 387 Objectives: To solve systems of equations by using elimination with multiplication. To determine the best method for solving systems of equations.

  4. Using Multiplication with Elimination • Write both equations in standard form. Ax + By = C • Look for the easiest way to get one variable to have opposite coefficients. (Hint: Think like you’re finding an LCD). • Multiply EVERY term in the equation by the factor needed to get the opposites. • Follow the same steps for elimination with addition or subtraction.

  5. Finding the LCD • Finding the LCD, simply means to find the least common multiple. Ex. 6 and 12 Ex. 5 and 4 Ex. 7 and 3

  6. Ex. 1: Multiply on equation to eliminate • 2x + y = 23 3x + 2y = 37

  7. 2. X + 5y = 4 3x – 7y = -10

  8. Ex. 2: Multiply both equations to eliminate a variable. • 4x + 3y = 8 3x – 5y = -23

  9. 2. 4x + 3y = 19 6x + 5y = 20

  10. 4x + 2y = 10.52x + 3y = 10.75

  11. X + 5y = 43x – 7y = -10

  12. Ex. 3: Determine the best method to use, substitution or elimination. • y = 4x + 11 3x – 2y = -7

  13. 5x – 2y = 123x – 2y = -2

  14. Write and solve a system of equations. • Seven times a number plus three times another number equals negative one. The sum of the two numbers is negative three. What are the numbers?

  15. Summary

  16. NBA #4, page 391, problems 14-36 even

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