Question

1- Resolva os sistemas de Equações (determinando o valor de x e y)

X+Y=11
a) X-Y=3

X-Y=1
b) X+Y=9

X-Y=16
c) X+Y=74

2x-Y=20
d) 2x+Y=48​

Answer 1

A)X+Y=11

X-Y=3

Corta os y.

2x= 14

X= 14/2

X= 7

X+y= 11

7+ y= 11

Y= 11-7

Y= 4

S={ 7,4}

B) X-Y=1

X+Y=9

Corta os y.

2x= 10

X= 10/2

X= 5

X+y=9

5+y= 9

Y= 9-5

Y= 4

S={ 5,4}

C) X-Y=16

c) X+Y=74

Corta os y.

2x= 90

X= 90/2

X= 45

X-y= 16

45- y= 16

-y = 16-45

-y = -29 (×-1)

Y= 29

S={ 45,29}

D) 2x-Y=20

2x+Y=48

Corta os y.

4x= 68

X= 68/4

X= 17

2x- y= 20

2• 17- y= 20

34- y= 20

-y= 20-34

-y= -14. (×-1)

Y= 14

S={17,14}

Espero ter ajudado ;)