SPLDV dengan cara determinan

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Page 1: SPLDV dengan cara determinan

Solving Systems of Equations

Cramer’s Rule

By

Jeffrey Bivin

Lake Zurich High School

[email protected]

Last Updated: October 11, 2005

Page 2: SPLDV dengan cara determinan

Cramer’s Rule

uses determinants

to solve the system

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Page 3: SPLDV dengan cara determinan

System to be solved

5x + 2y = 16

3x – 5y = -9

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Page 4: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

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Page 5: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

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Page 6: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 7: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 8: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 9: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 10: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 11: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 12: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16

-9

5 2

3 -5

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Page 13: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 14: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 15: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 16: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

[email protected]

Page 17: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16 2

-9 -5

5 2

3 -5

-80 — (-18)

-25 — 6

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-62

-31

2

Page 18: SPLDV dengan cara determinan

[email protected]

Page 19: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

[email protected]

Page 20: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

[email protected]

Page 21: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

[email protected]

Page 22: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 23: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 24: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 25: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 26: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 27: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 28: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

16

-9

5 2

3 -5

[email protected]

Page 29: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 30: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 31: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

[email protected]

Page 32: SPLDV dengan cara determinan

5x + 2y = 163x – 5y = -9

5 16

3 -9

5 2

3 -5

-45 — 48

-25 — 6

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-93

-31

3

Page 33: SPLDV dengan cara determinan

Final Result

5x + 2y = 16

3x – 5y = -9

x = 2

y = 3 (2,3) [email protected]


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