Username578 Username578
  • 17-06-2020
  • Mathematics
contestada

if p+q has the value that is exactly 1/3 less than p what is the value of q

Respuesta :

jimrgrant1 jimrgrant1
  • 17-06-2020

Answer:

q = - [tex]\frac{1}{3}[/tex] p

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] less than p = [tex]\frac{2}{3}[/tex] p

Thus

p + q = [tex]\frac{2}{3}[/tex] p ( multiply through by 3 to clear the fraction )

3p + 3q = 2p ( subtract 3p from both sides )

3q = - p ( divide both sides by 3 )

q = - [tex]\frac{1}{3}[/tex] p

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