Question

Apresentando os Sistemas de Equações lineares abaixo , encontre os valores de (X, Y):
A) 2x + y = 17
x - y = 22



B) x - y = 37
x - y = 03



C) 2x + 2y = 17
x - y = 23



D) 2x + y = 15
2x - y = 23



E) x + y = 17 -y
x - y = 03



F) x + y = 17
x - y = 03 - 2x



G) x + y = 17
x - y = 03 -y

Answer 1

Resposta:

A)

( x - 3y = 1------>×(-2)

( 2x +5y = 13

:

:

( -2x + 6y= - 2

( 2x + 5y = 13

----------------------

11y=11

y=1

2x+5y =13

2x+5 (1)=13

2x+5=13

2x=13-5

2x=8

x=8/2

x=4

s ( 1 e 4 )

B)

(2x + y = 10--->×(-3)

(x + 3y = 15

:

:

( -6x-3y=-30

( x+3y =15

-----------------( + )

-5x= - 15

x= 3

2x+y=10

2.3+y =10

6+y =10

y=10-6

y=4

s= (3 e 4)

C)

( 2x + 7y = 17

( 5x - y = -13---->×(7)

:

:

(2x+7y=17

( y=13+5x

:

:

2x+7 (13 + 5x)=17

2x+91+ 35x=17

37x=17 -91

37x= -74

x= -2

2x+7y=17

2 (-2)+7y=17

-4+7y=17

7y=17+4

7y=21

y=3

s ( - 2 e 3 )

D)

( 2x + y = 4---->×(3)

( 4x - 3y = 3

:

:

(6x+3y=12

(4x -3y=3

------------------(+)

10x=15

x=3/2

2x+y=4

2. (1,5)+y=4

3 + y=4

y=4-3

y=1

s ( 3/2 e 1 )

E)

( x + y = 2------->(-2)

( 3x + 2y = 6

:

:

(-2x-2y= -4

(3x+2y=6

------------------(+)

x=2

-2x-2y= -4

-2 (2)-2y= -4

-4-2y= -4

-2y= -4+4

-2y=0

y=2

s (2 e 2 )

F)

(x - y =5

(x +y = 7

--------------(+)

2x=12

x=6

6-y=5

-y=5-6

y=1

s (6 e 1 )

G)

( x - y =2

( 2x +y = 4

-------------------(+)

3x=6

x=2

2(2)+y=4

4+y=4

y=4-4

y=0

s (2 e 0)

Explicação passo-a-passo: