Copia de xl0000004

Resuelve el sistema de ecuaciones por el método de determinantes

9 4 X - 3 Y = 15

7 2 X + 3 Y = 39

D 4 -3 4 3 - 2 -3

2 3 12 + 6

D = 18

15 -3 15 3 - 39 -3

39 3 45 + 117

162

4 15 4 39 - 2 15

2 39 156 - 30

126

x = 162 / 18

y = 126 / 18

x = 9

y = 7

4 8 X + 11 Y = 43

1 10 X - 4 Y = 36

D 8 11 8 -4 - 10 11

10 -4 -32 - 110

D = -142

43 11 43 -4 - 36 11

36 -4 -172 - 396

-568

8 43 8 36 - 10 43

10 36 288 - 430

-142

x = -568 / -142

y = -142 / -142

x = 4

y = 1

1 11 X - 11 Y = -110

11 8 X + 9 Y = 107

D 11 -11 11 9 - 8 -11

8 9 99 + 88

D = 187

-110 -11 -110 9 - 107 -11

107 9 -990 + 1177

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

187

11 -110 11 107 - 8 -110

8 107 1177 + 880

2057

x = 187 / 187

y = 2057 / 187

x = 1

y = 11


11 11 X - 7 Y = 72

7 9 X - 11 Y = 22

D 11 -7 11 -11 - 9 -7

9 -11 -121 + 63

D = -58

72 -7 72 -11 - 22 -7

22 -11 -792 + 154

-638

11 72 11 22 - 9 72

9 22 242 - 648

-406

x = -638 / -58

y = -406 / -58

x = 11

y = 7

10 8 X - 10 Y = 10

7 6 X - 2 Y = 46

D 8 -10 8 -2 - 6 -10

6 -2 -16 + 60

D = 44

10 -10 10 -2 - 46 -10

46 -2 -20 + 460

440

8 10 8 46 - 6 10

6 46 368 - 60

308

x = 440 / 44

y = 308 / 44

x = 10

D x =

D y

D y =

D x

D x =

D y

D y =

D x

D x =

D y

D y =

y = 7

1 3 X + 8 Y = 59

7 8 X - 5 Y = -27

D 3 8 3 -5 - 8 8

8 -5 -15 - 64

D = -79

59 8 59 -5 - -27 8

-27 -5 -295 + 216

-79

3 59 3 -27 - 8 59

8 -27 -81 - 472

-553

x = -79 / -79

y = -553 / -79

x = 1

y = 7


2 4 X - 8 Y = -72

10 3 X + 2 Y = 26

D 4 -8 4 2 - 3 -8

3 2 8 + 24

D = 32

-72 -8 -72 2 - 26 -8

26 2 -144 + 208

64

4 -72 4 26 - 3 -72

3 26 104 + 216

320

x = 64 / 32

y = 320 / 32

x = 2

y = 10

6 4 X + 10 Y = 84

6 10 X - 6 Y = 24

D 4 10 4 -6 - 10 10

10 -6 -24 - 100

D = -124

84 10 84 -6 - 24 10

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

24 -6 -504 - 240

-744

4 84 4 24 - 10 84

10 24 96 - 840

-744

x = -744 / -124

y = -744 / -124

x = 6

y = 6

6 8 X - 4 Y = 40

2 6 X + 2 Y = 40

D 8 -4 8 2 - 6 -4

6 2 16 + 24

D = 40

40 -4 40 2 - 40 -4

40 2 80 + 160

240

8 40 8 40 - 6 40

6 40 320 - 240

80

x = 240 / 40

y = 80 / 40

x = 6

y = 2


D x =

D y

D y =

D x

D x =

D y

D y =

7

7 11 X + 11 Y =

2 6 X - 4 Y =

D 11 11 11 -4 - 6

6 -4 -44 - 66

D = -110

99 11 99 -4 - 34

34 -4 -396 - 374

-770

11 99 11 34 - 6

6 34 374 - 594

-220

x = -770 / -110

y = -220 / -110

x = 7

y = 2

4 8 X + 2 Y =

6 3 X + 10 Y =

D 8 2 8 10 - 3

3 10 80 - 6

D = 74

44 2 44 10 - 72

72 10 440 - 144

296

8 44 8 72 - 3

3 72 576 - 132

444

x = 296 / 74

y = 444 / 74

x = 4

y = 6

1 10 X + 8 Y =

5 9 X + 9 Y =

D 10 8 10 9 - 9

9 9 90 - 72

D = 18

50 8 50 9 - 54

54 9 450 - 432

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

18

10 50 10 54 - 9

9 54 540 - 450

90

x = 18 / 18

y = 90 / 18

x = 1

y = 5

8

6 8 X + 7 Y =

11 10 X - 6 Y =

D 8 7 8 -6 - 10

10 -6 -48 - 70

D = -118

125 7 125 -6 - -6

-6 -6 -750 + 42

-708

8 125 8 -6 - 10

10 -6 -48 - 1250

-1298

x = -708 / -118

y = -1298 / -118

x = 6

y = 11

5 10 X - 6 Y =

5 8 X + 5 Y =

D 10 -6 10 5 - 8

8 5 50 + 48

D = 98

20 -6 20 5 - 65

65 5 100 + 390

490

10 20 10 65 - 8

8 65 650 - 160

490

x = 490 / 98

y = 490 / 98

x = 5

D x =

D y

D y =

D x

D x =

D y

D y =

D x

D x =

D y

D y =

y = 5

11 11 X - 2 Y =

2 5 X + 9 Y =

D 11 -2 11 9 - 5

5 9 99 + 10

D = 109

117 -2 117 9 - 73

73 9 1053 + 146

1199

11 117 11 73 - 5

5 73 803 - 585

218

x = 1199 / 109

y = 218 / 109

x = 11

y = 2

9

3 5 X + 2 Y =

1 5 X + 5 Y =

D 5 2 5 5 - 5

5 5 25 - 10

D = 15

17 2 17 5 - 20

20 5 85 - 40

45

5 17 5 20 - 5

5 20 100 - 85

15

x = 45 / 15

y = 15 / 15

x = 3

y = 1

4 11 X + 9 Y =

4 5 X - 7 Y =

D 11 9 11 -7 - 5

5 -7 -77 - 45

D = -122

80 9 80 -7 - -8

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

-8 -7 -560 + 72

-488

11 80 11 -8 - 5

5 -8 -88 - 400

-488

x = -488 / -122

y = -488 / -122

x = 4

y = 4

6 11 X + 3 Y =

4 2 X + 11 Y =

D 11 3 11 11 - 2

2 11 121 - 6

D = 115

78 3 78 11 - 56

56 11 858 - 168

690

11 78 11 56 - 2

2 56 616 - 156

460

x = 690 / 115

y = 460 / 115

x = 6

y = 4

10

D x =

D y

D y =

D x

D x =

D y

D y =


99 1 4 X - 3 Y

34 3 2 X + 3 Y

11 D ( ) ( )

( )

D =

11 ( ) ( )

( )

99 ( ) ( )

( )

x =

y =

x =

y =

44 1 8 X + 11 Y

72 1 10 X - 4 Y

2 D ( ) ( )

( )

D =

2 ( ) ( )

( )

44 ( ) ( )

( )

x =

y =

x =

y =

50 8 11 X - 11 Y

54 10 8 X + 9 Y

8 D ( ) ( )

( )

D =

8 ( ) ( )

( )

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

50 ( ) ( )

( )

x =

y =

x =

y =


125 7 11 X - 7 Y

-6 2 9 X - 11 Y

7 D ( ) ( )

( )

D =

7 ( ) ( )

( )

125 ( ) ( )

( )

x =

y =

x =

y =

20 8 8 X - 10 Y

65 2 6 X - 2 Y

-6 D ( ) ( )

( )

D =

-6 ( ) ( )

( )

20 ( ) ( )

( )

x =

y =

x =

D x =

D y

D y =

D x

D x =

D y

D y =

D x

D x =

D y

D y =

y =

117 11 3 X + 8 Y

73 11 8 X - 5 Y

-2 D ( ) ( )

( )

D =

-2 ( ) ( )

( )

117 ( ) ( )

( )

x =

y =

x =

y =


17 5 4 X - 8 Y

20 8 3 X + 2 Y

2 D ( ) ( )

( )

D =

2 ( ) ( )

( )

17 ( ) ( )

( )

x =

y =

x =

y =

80 8 4 X + 10 Y

-8 6 10 X - 6 Y

9 D ( ) ( )

( )

D =

9 ( ) ( )

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

( )

80 ( ) ( )

( )

x =

y =

x =

y =

78 10 8 X - 4 Y

56 8 6 X + 2 Y

3 D ( ) ( )

( )

D =

3 ( ) ( )

( )

78 ( ) ( )

( )

x =

y =

x =

y =


D x =

D y

D y =

D x

D x =

D y

D y =

= 15 8 11 X + 11

= 39 10 6 X - 4

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

= 43 3 8 X + 2

= 36 3 3 X + 10

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

= -110 10 10 X + 8

= 107 8 9 X + 9

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

= 72 1 8 X + 7

= 22 9 10 X - 6

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

= 10 10 10 X - 6

= 46 9 8 X + 5

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

D x =

D y

D y =

D x

D x =

D y

D y =

D x

D x =

D y

D y =

y =

= 59 4 11 X - 2

= -27 1 5 X + 9

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

= -72 11 5 X + 2

= 26 4 5 X + 5

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

= 84 10 11 X + 9

= 24 8 5 X - 7

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

D x

D x =

D y

D y =

D x

D x =

D y

D y =

D x

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

= 40 3 11 X + 3

= 40 11 2 X + 11

( ) ( ) D ( ) ( )

( ) ( )

D =

( ) ( ) ( ) ( )

( ) ( )

( ) ( ) ( ) ( )

( ) ( )

x =

y =

x =

y =

D x =

D y

D y =

D x

D x =

D y

D y =

7

Y = 99

Y = 34

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

Y = 44

Y = 72

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

Y = 50

Y = 54

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

8

Y = 125

Y = -6

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

Y = 20

Y = 65

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

Y = 117

Y = 73

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

9

Y = 17

Y = 20

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

Y = 80

Y = -8

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

Y = 78

Y = 56

( ) ( )

( )

( ) ( )

( )

( ) ( )

( )

10

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