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Marianamp03
@Marianamp03
January 2020
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Resolva os sistemas abaixo,pelo método da substituição
a) {5x-y=34
{3x - 4y=0
b) { 3x - y = 0
{ -x + 4y =22
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PauloBarros
A)
5x - y = 34
3x - 4y = 0
5x - y = 34
5x - 34 = y
y = 5x - 34
3x - 4y = 0
3x - 4.(5x - 34) = 0
3x - 20x + 136 = 0
- 17x = - 136 (-1)
17x = 136
x = 136/17
x = 8
y = 5x - 34
y = 5.8 - 34
y = 40 - 34
y = 6
********************************************
b)
3x - y = 0
- x + 4y = 22
- x + 4y = 22
4y - 22 = x
x = 4y - 22
3x - y = 0
3.(4y - 22) - y = 0
12y - 66 - y = 0
11y - 66 = 0
11y = 66
y = 66/11
y = 6
x = 4y - 22
x = 4.6 - 22
x = 24 - 22
x = 2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)
x + y = 6
x = 2y
x + y = 6
2y + y = 6
3y = 6
y = 6/3
y = 2
x = 2y
x = 2.2
x = 4
*********************************
d)
x - y = 4 (-3)
2x- 3y = 6
- 3x + 3y = - 12
2x - 3y = 6 (+)
-------------------------------
- x = - 6 (-1)
x = 6
x - y = 4
6 - y = 4
6 - 4 = y
2 = y
y = 2
********************************
e)
7x + y = 38 (2)
x - 2y = - 16
14x + 2y = 76
x - 2y = - 16 (+)
-------------------------------
15x = 60
x = 60/15
x = 4
7x + y = 38
7.4 + y = 38
28 + y = 38
y = 38 - 28
y = 10
**************************
f)
x - y = 5 (5)
8x + 5y = 12
5x - 5y = 25
8x + 5y = 12 (+)
------------------------
13x = 37
x = 37
-----
13
x - y = 5
37 - y = 5
----
13
37 - 13y = 65
----------- -----
13 13
37 - 13y = 65
37 - 65 = 13y
- 28 = 13y
13y = - 28
y = - 28
------
13
***************************
g)
2x + 5y = 7 (3)
3x - 2y = -0,9 (-2)
6x + 15y = 21
- 6x + 4y = 1,8 (+)
--------------------------------
19y = 22,8
y = 22,8
--------
19
y = 1,2
2x + 5y = 7
2x + 5.1,2 = 7
2x + 6 = 7
2x = 7 - 6
2x = 1
x = 1/2
x = 0,5
2 votes
Thanks 1
marianamp03
F) { x - y= - 5 {8x+5y=12
PauloBarros
são quantas letras?
marianamp03
G) {2x + 5y=7 {3x-2y = -0,9
marianamp03
abou
marianamp03
acabou*
marianamp03
vai fazer/
marianamp03
vai fazer?
PauloBarros
ok
marianamp03
Obrigada..estarei aguardando
PauloBarros
aperte F5
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Lista de comentários
5x - y = 34
3x - 4y = 0
5x - y = 34
5x - 34 = y
y = 5x - 34
3x - 4y = 0
3x - 4.(5x - 34) = 0
3x - 20x + 136 = 0
- 17x = - 136 (-1)
17x = 136
x = 136/17
x = 8
y = 5x - 34
y = 5.8 - 34
y = 40 - 34
y = 6
********************************************
b)
3x - y = 0
- x + 4y = 22
- x + 4y = 22
4y - 22 = x
x = 4y - 22
3x - y = 0
3.(4y - 22) - y = 0
12y - 66 - y = 0
11y - 66 = 0
11y = 66
y = 66/11
y = 6
x = 4y - 22
x = 4.6 - 22
x = 24 - 22
x = 2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)
x + y = 6
x = 2y
x + y = 6
2y + y = 63y = 6
y = 6/3
y = 2
x = 2y
x = 2.2
x = 4
*********************************
d)
x - y = 4 (-3)
2x- 3y = 6
- 3x + 3y = - 12
2x - 3y = 6 (+)
-------------------------------
- x = - 6 (-1)
x = 6
x - y = 4
6 - y = 4
6 - 4 = y
2 = y
y = 2
********************************
e)
7x + y = 38 (2)
x - 2y = - 16
14x + 2y = 76
x - 2y = - 16 (+)
-------------------------------
15x = 60
x = 60/15
x = 4
7x + y = 38
7.4 + y = 38
28 + y = 38
y = 38 - 28
y = 10
**************************
f)
x - y = 5 (5)
8x + 5y = 12
5x - 5y = 25
8x + 5y = 12 (+)
------------------------
13x = 37
x = 37
-----
13
x - y = 5
37 - y = 5
----
13
37 - 13y = 65
----------- -----
13 13
37 - 13y = 65
37 - 65 = 13y
- 28 = 13y
13y = - 28
y = - 28
------
13
***************************
g)
2x + 5y = 7 (3)
3x - 2y = -0,9 (-2)
6x + 15y = 21
- 6x + 4y = 1,8 (+)
--------------------------------
19y = 22,8
y = 22,8
--------
19
y = 1,2
2x + 5y = 7
2x + 5.1,2 = 7
2x + 6 = 7
2x = 7 - 6
2x = 1
x = 1/2
x = 0,5