Question

Resolva os sistemas:
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Answer 1

Resposta:

1) S(10, 2)

2) S(32/5, 9/5)

3) S(5, 1)

Explicação passo-a-passo:

1)

2x - 3y = 14 (×2)

3x + 2y = 34 (×3)

4x - 6y = 28

9x +6y = 102

13x = 130

x = 130/13 = 10

3y = 2x - 14

y = (2x - 14)/3 = (2.10 - 14)/3 = 6/3 = 2

2)

x - 3y = 1 (-1)

x + 2y = 10

- x + 3y = - 1

___________

0 + 5y = 9

y = 9/5

x - 3y = 1

x = 1 + 3y

x = 1 + 3.9/5 = 1 + 27/5 = (5 + 27)/5

x = 32/5

3)

x - 2y = 3

x + 2y = 7

2x = 10

x = 10/2 = 5

2y = 7 - x

y = (7 - x)/2 = (7 - 5)/2 = 2/2 = 1