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

∆ 4 -3 4 3 - 2 -3
2 3 12 + 6
∆= 18

∆x 15 -3 15 3 - 39 -3
39 3 45 + 117
∆x= 162

∆y 4 15 4 39 - 2 15
2 39 156 - 30
∆y= 126
x= 162 / 18
y= 126 / 18

x= 9
y= 7
4 8 X + 11 Y = 43
1 10 X - 4 Y = 36

∆ 8 11 8 -4 - 10 11
10 -4 -32 - 110
∆= -142

∆x 43 11 43 -4 - 36 11
36 -4 -172 - 396
∆x= -568

∆y 8 43 8 36 - 10 43
10 36 288 - 430
∆y= -142
x= -568 / -142
y= -142 / -142

x= 4
y= 1
1 11 X - 11 Y = -110
11 8 X + 9 Y = 107

∆ 11 -11 11 9 - 8 -11
8 9 99 + 88
∆= 187

∆x -110 -11 -110 9 - 107 -11
107 9 -990 + 1177
∆x= 187

∆y 11 -110 11 107 - 8 -110

8 107 1177 + 880
∆y= 2057
x= 187 / 187
y= 2057 / 187

x= 1
y= 11
11 11 X - 7 Y = 72
7 9 X - 11 Y = 22

∆ 11 -7 11 -11 - 9 -7
9 -11 -121 + 63
∆= -58

∆x 72 -7 72 -11 - 22 -7
22 -11 -792 + 154
∆x= -638

∆y 11 72 11 22 - 9 72
9 22 242 - 648
∆y= -406
x= -638 / -58
y= -406 / -58

x= 11
y= 7
10 8 X - 10 Y = 10
7 6 X - 2 Y = 46

∆ 8 -10 8 -2 - 6 -10
6 -2 -16 + 60
∆= 44

∆x 10 -10 10 -2 - 46 -10
46 -2 -20 + 460
∆x= 440

∆y 8 10 8 46 - 6 10
6 46 368 - 60
∆y= 308
x= 440 / 44
y= 308 / 44

x= 10
y= 7
1 3 X + 8 Y = 59
7 8 X - 5 Y = -27

∆ 3 8 3 -5 - 8 8
8 -5 -15 - 64

∆= -79

∆x 59 8 59 -5 - -27 8
-27 -5 -295 + 216
∆x= -79

∆y 3 59 3 -27 - 8 59
8 -27 -81 - 472
∆y= -553
x= -79 / -79
y= -553 / -79

x= 1
y= 7
2 4 X - 8 Y = -72
10 3 X + 2 Y = 26

∆ 4 -8 4 2 - 3 -8
3 2 8 + 24
∆= 32

∆x -72 -8 -72 2 - 26 -8
26 2 -144 + 208
∆x= 64

∆y 4 -72 4 26 - 3 -72
3 26 104 + 216
∆y= 320
x= 64 / 32
y= 320 / 32

x= 2
y= 10
6 4 X + 10 Y = 84
6 10 X - 6 Y = 24

∆ 4 10 4 -6 - 10 10
10 -6 -24 - 100
∆= -124

∆x 84 10 84 -6 - 24 10
24 -6 -504 - 240
∆x= -744

∆y 4 84 4 24 - 10 84
10 24 96 - 840
∆y= -744
x= -744 / -124
y= -744 / -124

x= 6
y= 6
6 8 X - 4 Y = 40
2 6 X + 2 Y = 40

∆ 8 -4 8 2 - 6 -4
6 2 16 + 24
∆= 40

∆x 40 -4 40 2 - 40 -4
40 2 80 + 160
∆x= 240

∆y 8 40 8 40 - 6 40
6 40 320 - 240
∆y= 80
x= 240 / 40
y= 80 / 40

x= 6
y= 2

7
7 11 X + 11 Y =
2 6 X - 4 Y =

∆ 11 11 11 -4 - 6
6 -4 -44 - 66
∆= -110

∆x 99 11 99 -4 - 34
34 -4 -396 - 374
∆x= -770

∆y 11 99 11 34 - 6
6 34 374 - 594
∆y= -220
x= -770 / -110
y= -220 / -110

x= 7
y= 2
4 8 X + 2 Y =
6 3 X + 10 Y =

∆ 8 2 8 10 - 3
3 10 80 - 6
∆= 74

∆x 44 2 44 10 - 72
72 10 440 - 144
∆x= 296

∆y 8 44 8 72 - 3
3 72 576 - 132
∆y= 444
x= 296 / 74
y= 444 / 74

x= 4
y= 6
1 10 X + 8 Y =
5 9 X + 9 Y =

∆ 10 8 10 9 - 9
9 9 90 - 72
∆= 18

∆x 50 8 50 9 - 54
54 9 450 - 432
∆x= 18

∆y 10 50 10 54 - 9

9 54 540 - 450
∆y= 90
x= 18 / 18
y= 90 / 18

x= 1
y= 5
8
6 8 X + 7 Y =
11 10 X - 6 Y =

∆ 8 7 8 -6 - 10
10 -6 -48 - 70
∆= -118

∆x 125 7 125 -6 - -6
-6 -6 -750 + 42
∆x= -708

∆y 8 125 8 -6 - 10
10 -6 -48 - 1250
∆y= -1298
x= -708 / -118
y= -1298 / -118

x= 6
y= 11
5 10 X - 6 Y =
5 8 X + 5 Y =

∆ 10 -6 10 5 - 8
8 5 50 + 48
∆= 98

∆x 20 -6 20 5 - 65
65 5 100 + 390
∆x= 490

∆y 10 20 10 65 - 8
8 65 650 - 160
∆y= 490
x= 490 / 98
y= 490 / 98

x= 5
y= 5
11 11 X - 2 Y =
2 5 X + 9 Y =

∆ 11 -2 11 9 - 5
5 9 99 + 10

∆= 109

∆x 117 -2 117 9 - 73
73 9 1053 + 146
∆x= 1199

∆y 11 117 11 73 - 5
5 73 803 - 585
∆y= 218
x= 1199 / 109
y= 218 / 109

x= 11
y= 2
9
3 5 X + 2 Y =
1 5 X + 5 Y =

∆ 5 2 5 5 - 5
5 5 25 - 10
∆= 15

∆x 17 2 17 5 - 20
20 5 85 - 40
∆x= 45

∆y 5 17 5 20 - 5
5 20 100 - 85
∆y= 15
x= 45 / 15
y= 15 / 15

x= 3
y= 1
4 11 X + 9 Y =
4 5 X - 7 Y =

∆ 11 9 11 -7 - 5
5 -7 -77 - 45
∆= -122

∆x 80 9 80 -7 - -8
-8 -7 -560 + 72
∆x= -488

∆y 11 80 11 -8 - 5
5 -8 -88 - 400
∆y= -488
x= -488 / -122
y= -488 / -122

x= 4
y= 4
6 11 X + 3 Y =
4 2 X + 11 Y =

∆ 11 3 11 11 - 2
2 11 121 - 6
∆= 115

∆x 78 3 78 11 - 56
56 11 858 - 168
∆x= 690

∆y 11 78 11 56 - 2
2 56 616 - 156
∆y= 460
x= 690 / 115
y= 460 / 115

x= 6
y= 4
10

99 1 4 X - 3 Y
34 3 2 X + 3 Y

11 ∆ ( ) ( )
( )
∆=

11 ∆x ( ) ( )
( )
∆x=

99 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=
44 1 8 X + 11 Y
72 1 10 X - 4 Y

2 ∆ ( ) ( )
( )
∆=

2 ∆x ( ) ( )
( )
∆x=

44 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=
50 8 11 X - 11 Y
54 10 8 X + 9 Y

8 ∆ ( ) ( )
( )
∆=

8 ∆x ( ) ( )
( )
∆x=

50 ∆y ( ) ( )

( )
∆y=
x=
y=

x=
y=
125 7 11 X - 7 Y
-6 2 9 X - 11 Y

7 ∆ ( ) ( )
( )
∆=

7 ∆x ( ) ( )
( )
∆x=

125 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=
20 8 8 X - 10 Y
65 2 6 X - 2 Y

-6 ∆ ( ) ( )
( )
∆=

-6 ∆x ( ) ( )
( )
∆x=

20 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=
117 11 3 X + 8 Y
73 11 8 X - 5 Y

-2 ∆ ( ) ( )
( )

∆=

-2 ∆x ( ) ( )
( )
∆x=

117 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=
17 5 4 X - 8 Y
20 8 3 X + 2 Y

2 ∆ ( ) ( )
( )
∆=

2 ∆x ( ) ( )
( )
∆x=

17 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=
80 8 4 X + 10 Y
-8 6 10 X - 6 Y

9 ∆ ( ) ( )
( )
∆=

9 ∆x ( ) ( )
( )
∆x=

80 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=
78 10 8 X - 4 Y
56 8 6 X + 2 Y

3 ∆ ( ) ( )
( )
∆=

3 ∆x ( ) ( )
( )
∆x=

78 ∆y ( ) ( )
( )
∆y=
x=
y=

x=
y=

= 15 8 11 X + 11
= 39 10 6 X - 4

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
y=
= 43 3 8 X + 2
= 36 3 3 X + 10

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
y=
= -110 10 10 X + 8
= 107 8 9 X + 9

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )

( ) ( )
∆y=
x=
y=

x=
y=

= 72 1 8 X + 7
= 22 9 10 X - 6

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
y=
= 10 10 10 X - 6
= 46 9 8 X + 5

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
y=
= 59 4 11 X - 2
= -27 1 5 X + 9

( ) ( ) ∆ ( ) ( )
( ) ( )

∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
y=

= -72 11 5 X + 2
= 26 4 5 X + 5

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
y=
= 84 10 11 X + 9
= 24 8 5 X - 7

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
y=
= 40 3 11 X + 3
= 40 11 2 X + 11

( ) ( ) ∆ ( ) ( )
( ) ( )
∆=

( ) ( ) ∆x ( ) ( )
( ) ( )
∆x=

( ) ( ) ∆y ( ) ( )
( ) ( )
∆y=
x=
y=

x=
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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