Sistema De Ecuaciones
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SISTEMA DE ECUACIONES GRUPO # 4
1. 7x + 4y= 13 5x – 2y = 19 7x=-4y+13
5x= 2y+19
X= -4y+13
x= 2y +19
7
5
-20y+65= 14y+133 -20y-14y= 133-65 -34y=68 Y = -68 = -34 34
17
5x -2 (-34) = 19 17 5x + 68 = 19 17
5x= 19 – 68 17 5x=323-68 x= 255 = 51 17
85
Prueba 5x – 2y = 19
5 (51) – 2 (-34) = 19 17
17
255 + 68 = 19 17
17
17
4335 + 1156 = 19 289 5491 = 19 289 19 = 19
2. X + 6y =27 7x – 3y = 9 X= - 6y + 27 X= - 6y + 27
7x= 3y +9
x= 3y +9 7 -42y +189 = 3y +4 -42y + 3y = 4 -189 -39y= -185 Y= -185 -39 7x – 3 (-185)= 9 -39 7x + 555 =9 -39 7x= 9 - 555 -39
7x= -351-555 -39 X= -906 -273
x= -302 -91
Prueba 7x – 3y = 9 7 – 302 - 3 - 185 = 9 -91
-39
-2114 + 555 = 9
-91
-39
82446 – 50505 = 9 3549 31941 = 9 3549 9=9
3. 15 – 11y = -87 12x + 5y = -27 15x= 11y – 87 X= 11y – 87 15
12x= -5y -27 x= - 5y - 27 12
132y – 1044= -75y -405 132y + 75y= -405 + 1044 207y = 639 Y= 639 = 71 207 23 12x + 5 (71) = -27 23 12x + 355= -27 23 12x= - 27 – 355 23 12x= -621 -355 23
X= -976 273 Prueba 12x + 5y = -27 12 (-976) + (355) = -27 273 23
-11712 + 355 = -27 273 23 -269376 + 96915 = -27 6279 -172461 = -27 6274 -27 = - 27
4. 6x – 18y = -85 24x-5y = -5 6x= 18y -85 X=18y -85 6
432y – 2040= 30y 30 432 – 30y = -30+2040 402y= 2010 Y= 2010 = 335 402 67 24x – 5 (335) = -5 67 24x – 1675 = -5 67 24x= -5 + 1675 67
24x= -335+ 1675 67 X=1340 = 335 1608 402 Prueba 24x – 5y = -5 24 (335) – 5 (335) = -5
24x=5y -5 x= 5y -5 24
402
67
538680 – 673350 = -5 26934 -134670 = -5 26934
-5 = -5
1. 7x + 4y= 13 5x – 2y = 19 7x=-4y+13
5x= 2y+19
X= -4y+13
x= 2y +19
7
5
-20y+65= 14y+133 -20y-14y= 133-65 -34y=68 Y = -68 = -34 34
17
5x -2 (-34) = 19 17 5x + 68 = 19 17
5x= 19 – 68 17 5x=323-68 x= 255 = 51 17
85
Prueba 5x – 2y = 19
5 (51) – 2 (-34) = 19 17
17
255 + 68 = 19 17
17
17
4335 + 1156 = 19 289 5491 = 19 289 19 = 19
2. X + 6y =27 7x – 3y = 9 X= - 6y + 27 X= - 6y + 27
7x= 3y +9
x= 3y +9 7 -42y +189 = 3y +4 -42y + 3y = 4 -189 -39y= -185 Y= -185 -39 7x – 3 (-185)= 9 -39 7x + 555 =9 -39 7x= 9 - 555 -39
7x= -351-555 -39 X= -906 -273
x= -302 -91
Prueba 7x – 3y = 9 7 – 302 - 3 - 185 = 9 -91
-39
-2114 + 555 = 9
-91
-39
82446 – 50505 = 9 3549 31941 = 9 3549 9=9
3. 15 – 11y = -87 12x + 5y = -27 15x= 11y – 87 X= 11y – 87 15
12x= -5y -27 x= - 5y - 27 12
132y – 1044= -75y -405 132y + 75y= -405 + 1044 207y = 639 Y= 639 = 71 207 23 12x + 5 (71) = -27 23 12x + 355= -27 23 12x= - 27 – 355 23 12x= -621 -355 23
X= -976 273 Prueba 12x + 5y = -27 12 (-976) + (355) = -27 273 23
-11712 + 355 = -27 273 23 -269376 + 96915 = -27 6279 -172461 = -27 6274 -27 = - 27
4. 6x – 18y = -85 24x-5y = -5 6x= 18y -85 X=18y -85 6
432y – 2040= 30y 30 432 – 30y = -30+2040 402y= 2010 Y= 2010 = 335 402 67 24x – 5 (335) = -5 67 24x – 1675 = -5 67 24x= -5 + 1675 67
24x= -335+ 1675 67 X=1340 = 335 1608 402 Prueba 24x – 5y = -5 24 (335) – 5 (335) = -5
24x=5y -5 x= 5y -5 24
402
67
538680 – 673350 = -5 26934 -134670 = -5 26934
-5 = -5
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