Question

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Answer 1

a) 1/3x +2y = 5 (×3)

3/3x + 6y = 15

x + 6y = 15

x - 3y = -3 (×-1)

x +6y = 15

- x +3y = 3

x +6y = 15

__________+

9y = 18

y= 18/9

y = 2

Substituir em qualquer linha

x - 3y = - 3

x - 3.2 = -3

x - 6 = -3

x= -3+6

x= +3

b) 1/3x + 1/3y = 1 (×3)

3/3x + 3/3y = 3

x + y = 3

x - 5y = 9

x + y = 3 (×-1)

x - 5y = 9

-x - y = -3

________+

- 6y = 6

y= 6/-6

y= - 1

x - 5y = 9

x - 5.(-1)= 9

x +5 = 9

x= 9-5

x= 4

c) x + 1/2y = 1 (×2)

2x + 2/2y = 2

2x + y = 2

3x + y = 1

2x + y = 2 (× -1)

3x + y = 1

-2x -y = -2

_________+

x = -1

3x + y = 1

3.(-1) +y = 1

- 3 + y = 1

y= 1 +3

y= 4

d) 1/2x - 1/2y = -5. (× 2)

2/2x - 2/2y = - 10

x - y = - 10

x + 2y = - 4 (×-1)

x - y= -10

- x - 2y = +4

x - y = -10

__________+

- 3y = -6

y = -6/-3

y= +2

x - y = - 10

x - 2 = -10

x= - 10 +2

x= - 8