Answer:

Billie’s age = x = 17 years

Tony’s age = y = 31 years

Step-by-step explanation:

Let

Billie’s age = x

Tony’s age = y

Twice Billie’s age decreased by 3 is Tony’s age.

y = 2x – 3….. Equation 1

Tony is fourteen years older than Billie.

x = y – 14

We substitute y – 14 for x in Equation 1

y = 2x – 3….. Equation 1

y = 2(y – 14) – 3

y = 2y – 28 – 3

y – 2y = -28 – 3

-y = -31

y = 31 years

Solving for x

x = y – 14

x = 31 – 14

x = 17 years.

Therefore:

Billie’s age = x = 17 years

Tony’s age = y = 31 years