Question

Which of the following values of x and y are solutions of the

system of inequalities shown below?
x + 3y < 16
x+y > 10

Answer 1

B. x = 9, y = 2

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