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Marianamp03
@Marianamp03
January 2020
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Resolva os sistemas abaixo,pelo método de substituição
a) {x+y=6
{x=2y
b) {x-y=4
{2x-3y=6
c) { 7x+y=38
{x-2y= -16
d) {x-y= - 5
{8x+5y=12
e) {2x+5y=7
{3x-2y= - 0,9
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PauloBarros
A)
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
********************************
b)
x - y = 4 (-3)
2x - 3y = 6
- 3x + 3y = - 12
2x - 3y = 6 (+)
---------------------------
- x = - 6
x = 6
x - y = 4
6 - y = 4
6 - 4 = y
2 = y
y = 2
***************************
c)
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
**************************
d)
x - y= - 5 (5)
8x + 5y = 12
5x - 5y = - 25
8x + 5y = 12 (+)
--------------------------
13x = - 13
x = - 13/13
x = - 1
x - y = - 5
- 1 - y = - 5
- 1 + 5 = y
4 = y
y = 4
********************************************
e)
2x + 5y = 7
3x - 2y = - 0,9 (10)
2x + 5y = 7 (4)
30x - 20y = - 9
8x + 20y = 28
30x - 20y = - 9 (+)
----------------------------
38x = 19
x = 19/38
x = 0,5
2x + 5y = 7
2.0,5 + 5y = 7
1 + 5y = 7
5y = 7 - 1
5y = 6
y = 6/5
y = 1,2
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Lista de comentários
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
********************************
b)
x - y = 4 (-3)
2x - 3y = 6
- 3x + 3y = - 12
2x - 3y = 6 (+)
---------------------------
- x = - 6
x = 6
x - y = 4
6 - y = 4
6 - 4 = y
2 = y
y = 2
***************************
c)
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
**************************
d)
x - y= - 5 (5)
8x + 5y = 12
5x - 5y = - 25
8x + 5y = 12 (+)
--------------------------
13x = - 13
x = - 13/13
x = - 1
x - y = - 5
- 1 - y = - 5
- 1 + 5 = y
4 = y
y = 4
********************************************
e)
2x + 5y = 7
3x - 2y = - 0,9 (10)
2x + 5y = 7 (4)
30x - 20y = - 9
8x + 20y = 28
30x - 20y = - 9 (+)
----------------------------
38x = 19
x = 19/38
x = 0,5
2x + 5y = 7
2.0,5 + 5y = 7
1 + 5y = 7
5y = 7 - 1
5y = 6
y = 6/5
y = 1,2