Question

Resolva os seguintes sistemas:
(A)
-X + 2Y= 3
5X-2Y= -1
(B)
2X-Y=3
X+Y=3
(C)
X+2Y=8
2X-Y=6

Answer 1

Explicação passo-a-passo:

(A)

-X + 2Y= 3

5X-2Y= -1

_________

-x+5x=3-1

4x=2

x=2/4 = (2÷2)/(4÷2)=1/2

2y=3+x

2y=3+1/2

4y=6+1

4y=7

y=7/4

S={( 1/2 , 7/4)}

(B)

2X-Y=3

X+Y=3

_______

2x+x=3+3

3x=6

x=6/3

x=2

y=3-x= 3-2 = 1

S={( 2 , 1)}

(C)

X+2Y=8 .(-2)

2X-Y=6

________

-2x-4y=-16

2x-y=6

__________

-4y-y=-16+6

-5y=-10

y=-10/-5

y=2

x=8-2y= 8-2.(2)= 8-4= 4

S={( 4,2)}