Question

Resolva graficamente os sistemas,e o classifique


1) {2x-y=2

{y-x=1


2) {y=2x-3

{y-x=-2


3) {3x+5y=1

{4x+y=7


4) {1/2x-y=3

{3x=-y+11

Answer 1

Resposta:

1°)

{2x-y= 2

{y-x= 1

{2x-y= 2

{y= 1+x

2x-(1+x)= 2

2x-1-x= 2

x-1= 2

x= 2+1

x= 3

{y-3= 1

y= 1+3

y= 4

2°)

{y=2x-3

{y-x=-2

2x-3-x= -2

x-3= -2

x= -2+3

x= 1

y=2.1-3

y= 2-3

y= -1

3°)

{3x+5y=1

{4x+y=7

{3x+5y=1

{y=7-4x

3x+5(7-4x)=1

3x+35-20x=1

-17x+35=1

-17x=1-35

-17x= -34

x= -34

17

x= 2

y= 7-4.2

y= 7-8

y= -1

4°)

{1/2x-y=3

{3x=-y+11

{y= -3+ 1x

{ 2

{3x=-y+11

3x= -(- 3+ 1x )+11

( 2 )

3x= 3- 1x +11

2

3x= 14- 1x

2

6x= 28-x

6x+x= 28

7x= 28

x= 28

7

x= 4

3.4= -y+11

12= -y+11

y+12= 11

y= 11-12

y= -1

Espero ter ajudado!!

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