imadrocket32 imadrocket32
  • 20-04-2022
  • Mathematics
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3. It is given that the simultaneous linear equations px + 4y = 10 and qx - 2y = 1 have no solution. Express p in terms of q.
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Аноним Аноним
  • 20-04-2022

Answer:

p = -2q

Step-by-step explanation:

Given

There is no solution.

  1. Slopes are equal

  • px + 4y = 10
  • 4y = -px + 10
  • y = -p/4 + 5/2

  • qx - 2y = 1
  • 2y = qx - 1
  • y = q/2 - 1/2

Equating the slopes

  • -p/4 = q/2
  • -p = 2q
  • p = -2q
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