strahankeane087 strahankeane087
  • 22-01-2021
  • Mathematics
contestada

p + 2q = 11
2p + q = 10​

Respuesta :

devishri1977
devishri1977 devishri1977
  • 22-01-2021

Answer:

p = 3

q = 4

Step-by-step explanation:

p + 2q  = 11          --------------------(I)

       p = 11 - 2q

2p + q = 10         --------------------(II)

Substitute p = 11 -2q in equation (II)

2(11 - 2q) + q =10

2*11 - 2q *2 + q = 10

22 - 4q + q = 10

  22 - 3q    = 10

         -3q   = 10 - 22

        -3q    = -12

              q = -12/-3

 q = 4

Plugin q = 4 in equation (I)

p + 2q = 11

p + 2*4  = 11

p + 8 = 11

      p = 11 - 8

      p = 3

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