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System of Equations: Substitution and Elimination Day 2

System of Equations: Substitution and Elimination Day 2. Example #1. x = 2y – 3 3x + 2y = 7. Example #2. 3x + 4y = -5 5x + 6y = -7. Example #3. 3x – y = 4 5x + 3y = 9. Example #4. -8x - 6y = -14. 8x + 6y = 14. 0 = 0.

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System of Equations: Substitution and Elimination Day 2

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  1. System of Equations:Substitution and EliminationDay 2

  2. Example #1 x = 2y – 3 3x + 2y = 7

  3. Example #2 3x + 4y = -5 5x + 6y = -7

  4. Example #3 3x – y = 4 5x + 3y = 9

  5. Example #4 -8x - 6y = -14 8x + 6y = 14

  6. 0 = 0 When you get that 0=0, this means that you have a consistent dependent system Which means infinite solutions!

  7. Example #5 -2x - y = -1 2x + y = 5

  8. 0 = 4 Which means no solution! When you get a false statement, this means they are parallel lines, an inconsistent system.

  9. Example #6 Belinda had $20,000 to invest. She invested part of it at 10% and the remainder at 12%. If her income from the two investments was $2,160, then how much did she invest at each rate? x + y = 20,0000 0.10x + 0.12y = 2160

  10. Example #7 On Monday, Archie paid $3.40 for three doughnuts and two coffees. On Tuesday he paid $3.60 for two doughnuts and three coffees. On Wednesday he was tired of paying the tab and went out for coffee by himself. What was his bill for one doughnut and one coffee?

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