tiny2chicken2nugget
tiny2chicken2nugget tiny2chicken2nugget
  • 26-02-2021
  • Mathematics
contestada

Which of the following values of x and y are solutions of the
system of inequalities shown below?
x + 3y < 16
x+y > 10

Which of the following values of x and y are solutions of the system of inequalities shown below x 3y lt 16 xy gt 10 class=

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 02-03-2021

Answer:

         B.  x = 9, y = 2

Step-by-step explanation:

You can just check the values:

A.  x = 2, y = 8

x + 3y = 2 + 3×8 = 26 not <16  ⇒  NOT these values

B.   x = 9, y = 2

x + 3y = 9 + 3×2 = 15  <16

x + y = 9 + 2 = 11  >10

YES, x = 9, y = 2 are solutions of the  system of inequalities

C.  x = 1, y = 5

x + 3y = 1 + 3×5 = 16 not <16  ⇒  NOT these values

D.  x = 7, y = 2

x + 3y = 7 + 3×2 = 13  <16

x + y = 7 + 2 = 9 not >10  ⇒  NOT these values

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