2. The number of years that Elijah has been on the soccer team is 2 less than 5 times the number of years that Deaundre
has. In total, the boys have been on the soccer team for 10 years. How long has Elijah been on the soccer team?

Respuesta :

The Elijah have been on the soccer team for 8 years.

Step-by-step explanation:

Let,

  • The number of years that Deaundre have been on the soccer team  "x".
  • The number of years that Elijah have been on the soccer team = 2 less than 5 times the number of years that Deaundre.
  • The number of years that Elijah have been on the soccer team = 5x - 2.

Given that,

The boys have been on the soccer team for 10 years.

Number of years of Deaundre + Number of years of Eliijah = 10 years.

x + (5x-2) = 10

Keep x terms on one side and constants on another side to solve for x value :

6x = 10+2

6x = 12

x = 12/6

x = 2

The Deaundre have been on the soccer team for 2 years.

Substitute x=2 in (5x-2) to find the number of years of Elijah,

5(2)-2 = 8 years.

Therefore, the Elijah have been on the soccer team for 8 years.