Question

resolva os sistemas
a) 3x + 5 Y = 11
5 x - 2Y = 8

b) 2x-3y=11
4x-2y=16
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Answer 1

Resposta:

a) S = {(2, 1)}

b) S = {(13/4, -3/2)}

Explicação passo-a-passo:

a) 3x + 5y = 11 × 2

5x - 2y = 8 × 5

6x + 10y = 22

25x - 10y = 40

31x = 62

x = 62/31

x = 2

3x + 5y = 11

3.2 + 5y = 11

6 + 5y = 11

5y = 11 - 6

5y = 5

y = 5/5

y = 1

S = {(2, 1)}

b) 2x - 3y = 11

4x - 2y = 16

2x - 3y = 11

2x - y = 8 ×(-1)

2x - 3y = 11

-2x + y = -8

-2y = 3

2y = -3

y = -3/2

2x - y = 8

2x - (-3/2) = 8

2x + 3/2 = 8

2x = 8 - (3/2)

2x = (16 - 3)/2

2x = 13/2

4x = 13

x = 13/4

S = {(13/4, -3/2)}