Respostas
Resposta:
Explicação passo a passo:
A)
7p = 14
p = 14/7
p = 2
6w + 2p = 30 (:2)
3w + p = 15
3w + 2 = 15
3w = 15 - 2
3W = 13
w = 13/3
4z - 8w - 7p = 8
4z - 8.13/3 - 7.2 = 8
4z - 104/3 - 14 = - 8
4z - 104/3 = - 8 + 14
4z - 104/3 = 6
(3.4z - 104)/3 = 3.6/3
12z - 104 = 18
12z = 18 + 104
12z = 122 (:2)
6z = 61
Z= 61/6
2y - 5z - 7w - 4p = 10
2y - 5.61/6 - 7.13/3 - 4.2 = 10
2y - 305/6 - 91/3 - 8 = 10
Mmc (3,6)=6
(6.2y - 305 - 2.91 - 6.8)/6 = 6.10/6
12y - 305 - 182 - 48 = 60
12y - 487 = 60+48
12y = 108 + 487
12y = 595
Y = 595/12
3x + 2y + 6z + 4w + p = 12
3x + 2.595/12 + 6.61/6 + 4.13/3 + 2 = 12
3x + 595/6 + 61 + 52/3 = 12-2
3x + 595/6 + 61 + 52/3 = 10
3x = 10 - 61 - 595/6 - 52/3
3x = - 51 - 595/6 - 52/3
6.3x/6 = [6.(-51) - 595 - 2.52]/6
18x = - 306 - 595 - 104
18x = - 410 - 595
18x = - 1005
X = - 1005/18
__________
B)
x + 3y + 6z - 4w + 7t = 20
x + 3.271/16 + 6.(-11/4) - 4.(-6) + 7.9 = 20
x + 813/16 - 66/4 (:2)/(:2) + 24 + 63 = 20
x + 813/16 - 33/2 + 87-20= 0
x + 813/16 - 33/2 + 67 = 0
x = 33/2 - 67 - 813/16
16x/16= (8.33 - 67.16 - 813)/16
16x = 264 - 1072 - 813
16x = 264 - 1885
16x = 1621
X = 1621/16
____________
1885
- 264
--------
1621
1072
+813
--------
1885
67
X16
------
402
67
-------
1072
________
4y - 7z + 3w - 5t = 24
4y - 7.(-11/4) + 3.(-6) - 5.9 = 24
4y + 77/4 - 18 - 45 = 24
4y + 77/4 - 63 = 24
4y + 77/4 = 24 + 63
4y + 77/4 = 87
4y = 87 - 77/4
4.4y/4 = (4.87 - 77)/4
16y = 348 - 77
16y = 271
Y = 271/16
4z + 6w + 8t = 25
4z + 6.(-6) + 8.9 = 25
4z - 36 + 72 = 25
4z + 36 = 25
4z = 25 - 36
4z = - 11
z= - 11/4
9w+ 7t = 9
9w + 7.9 = 9
9w + 63 = 9
9w = 9 - 63
9w = - 54
w = - 54/9
w= - 6
9t = 81
t = 81/9
t = 9
__________
C)
7x + 5y + 3z - 9f = 20
7x + 5.(-245/16) + 3.65/4 - 9.5 = 20
7x - 1225/16 + 195/4 - 45 = 20
7x - 1225/16 + 195/4 = 20+45
(16.7x -1225 +4.195)/16 = 16.65/16
(112x - 1225 + 780)= 1040
112x - 445 = 1040
112X = 1485
x = 1485/112
4y + 5z + 4f = 40
4y + 5.65/4 + 4.5 = 40
4y + 325/4 + 20 = 40
4y + 325/4 = 40 - 20
4y + 325/4 = 20
(4.4y + 325)/4 = 20.4/4
16y + 325 = 80
16y = 80 - 325
16y = -245
y = - 245/16
4z - 7f = 30
4z - 7.5 = 30
4z - 35 = 30
4z = 30+35
4z = 65
z = 65/4
8f = 40
F = 40/8
F = 5
______________
D)
4x - 7y + 8z = 36
6y + 8z = 20
4z = 20
z = 20/4
z = 5
6y + 8z = 20
6y + 8.5 = 20
6y + 40 = 20
6y = 20 - 40
6y = - 20 (:2)
3y = - 10
y = - 10/3
4x - 7y + 8z = 36
4x - 7.(-10/3) + 8.5 = 36
4x + 70/3 + 40 = 36
4x + 70/3 = 36 - 40
4x + 70/3 = - 4
(3.4x + 70)/4 = 3.(-4)/3
12x + 70 = - 12
12x = - 12 - 70
12x = - 84
x = - 84/12
X = - 7