Question

Determine o valor de a

Answer 1

4x - 2y + 2x - y = 180

6x -3y = 180

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x + y + 4x - 2y = 180

5x - y = 180

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{6x -3y = 180 (: -3)

{5x - y = 180

{-2x + y = -60

{5x - y = 180

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3x = 120

x = 120/3

x = 40

5x - y = 180

5 . 40 - y = 180

200 - 180 = y

y = 20

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x + y + 4x - 2y + 2x - y + alfa = 360

40 + 20 + 4 . 40 - 2 . 20 + 2 . 40 - 20 + alfa = 360

60 + 160 - 40 + 80 - 20 + alfa = 360

180 + 20 + alfa = 360

200 + alfa = 360

alfa = 360 - 200

alfa = 160

Resposta: 160